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Finding the Fourth Proportional to 509,985.80, 764,978.70 and 177,561.80

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Solution

The fourth proportional to 509,985.80, 764,978.70 and 177,561.80 is: 266,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,985.80 : 764,978.70 = 177,561.80 : x
  2. Step 2: Convert to fraction form
    509,985.80/764,978.70 = 177,561.80/x
  3. Step 3: Cross multiply
    509,985.80x = 764,978.70 × 177,561.80
  4. Step 4: Simplify right side
    509,985.80x = 135,830,994,933.66
  5. Step 5: Solve for x
    x = 135,830,994,933.66/509,985.80
  6. Step 6: Final answer
    x = 266,342.70

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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.