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Finding the Fourth Proportional to 509,753.32, 764,785.50 and 260,610.28

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Solution

The fourth proportional to 509,753.32, 764,785.50 and 260,610.28 is: 390,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,753.32 : 764,785.50 = 260,610.28 : x
  2. Step 2: Convert to fraction form
    509,753.32/764,785.50 = 260,610.28/x
  3. Step 3: Cross multiply
    509,753.32x = 764,785.50 × 260,610.28
  4. Step 4: Simplify right side
    509,753.32x = 199,310,963,294.94
  5. Step 5: Solve for x
    x = 199,310,963,294.94/509,753.32
  6. Step 6: Final answer
    x = 390,994.93

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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.