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Finding the Fourth Proportional to 509,640.30, 764,460.45 and 478,536.30

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Solution

The fourth proportional to 509,640.30, 764,460.45 and 478,536.30 is: 717,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,640.30 : 764,460.45 = 478,536.30 : x
  2. Step 2: Convert to fraction form
    509,640.30/764,460.45 = 478,536.30/x
  3. Step 3: Cross multiply
    509,640.30x = 764,460.45 × 478,536.30
  4. Step 4: Simplify right side
    509,640.30x = 365,822,075,239.34
  5. Step 5: Solve for x
    x = 365,822,075,239.34/509,640.30
  6. Step 6: Final answer
    x = 717,804.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.