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Finding the Fourth Proportional to 687,951.52, 949,341.20 and 382,047.32

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Solution

The fourth proportional to 687,951.52, 949,341.20 and 382,047.32 is: 527,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,951.52 : 949,341.20 = 382,047.32 : x
  2. Step 2: Convert to fraction form
    687,951.52/949,341.20 = 382,047.32/x
  3. Step 3: Cross multiply
    687,951.52x = 949,341.20 × 382,047.32
  4. Step 4: Simplify right side
    687,951.52x = 362,693,261,688.70
  5. Step 5: Solve for x
    x = 362,693,261,688.70/687,951.52
  6. Step 6: Final answer
    x = 527,207.59

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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.