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Finding the Fourth Proportional to 509,590.13, 764,477.13 and 209,907.14

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Solution

The fourth proportional to 509,590.13, 764,477.13 and 209,907.14 is: 314,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,590.13 : 764,477.13 = 209,907.14 : x
  2. Step 2: Convert to fraction form
    509,590.13/764,477.13 = 209,907.14/x
  3. Step 3: Cross multiply
    509,590.13x = 764,477.13 × 209,907.14
  4. Step 4: Simplify right side
    509,590.13x = 160,469,207,953.71
  5. Step 5: Solve for x
    x = 160,469,207,953.71/509,590.13
  6. Step 6: Final answer
    x = 314,898.58

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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.