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Finding the Fourth Proportional to 509,663.34, 703,344.06 and 280,230.03

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Solution

The fourth proportional to 509,663.34, 703,344.06 and 280,230.03 is: 386,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,663.34 : 703,344.06 = 280,230.03 : x
  2. Step 2: Convert to fraction form
    509,663.34/703,344.06 = 280,230.03/x
  3. Step 3: Cross multiply
    509,663.34x = 703,344.06 × 280,230.03
  4. Step 4: Simplify right side
    509,663.34x = 197,098,127,034.12
  5. Step 5: Solve for x
    x = 197,098,127,034.12/509,663.34
  6. Step 6: Final answer
    x = 386,722.20

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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.