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Finding the Fourth Proportional to 508,489.76, 701,731.68 and 282,156.32

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Solution

The fourth proportional to 508,489.76, 701,731.68 and 282,156.32 is: 389,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,489.76 : 701,731.68 = 282,156.32 : x
  2. Step 2: Convert to fraction form
    508,489.76/701,731.68 = 282,156.32/x
  3. Step 3: Cross multiply
    508,489.76x = 701,731.68 × 282,156.32
  4. Step 4: Simplify right side
    508,489.76x = 197,998,028,456.22
  5. Step 5: Solve for x
    x = 197,998,028,456.22/508,489.76
  6. Step 6: Final answer
    x = 389,384.50

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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.