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Finding the Fourth Proportional to 509,439.73, 703,034.13 and 280,018.23

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Solution

The fourth proportional to 509,439.73, 703,034.13 and 280,018.23 is: 386,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,439.73 : 703,034.13 = 280,018.23 : x
  2. Step 2: Convert to fraction form
    509,439.73/703,034.13 = 280,018.23/x
  3. Step 3: Cross multiply
    509,439.73x = 703,034.13 × 280,018.23
  4. Step 4: Simplify right side
    509,439.73x = 196,862,372,712.19
  5. Step 5: Solve for x
    x = 196,862,372,712.19/509,439.73
  6. Step 6: Final answer
    x = 386,429.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.