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Finding the Fourth Proportional to 509,570.92, 764,663.58 and 177,380.20

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Solution

The fourth proportional to 509,570.92, 764,663.58 and 177,380.20 is: 266,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,570.92 : 764,663.58 = 177,380.20 : x
  2. Step 2: Convert to fraction form
    509,570.92/764,663.58 = 177,380.20/x
  3. Step 3: Cross multiply
    509,570.92x = 764,663.58 × 177,380.20
  4. Step 4: Simplify right side
    509,570.92x = 135,636,178,753.12
  5. Step 5: Solve for x
    x = 135,636,178,753.12/509,570.92
  6. Step 6: Final answer
    x = 266,177.24

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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.