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Finding the Fourth Proportional to 714,312.12, 985,747.86 and 392,027.52

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Solution

The fourth proportional to 714,312.12, 985,747.86 and 392,027.52 is: 540,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,312.12 : 985,747.86 = 392,027.52 : x
  2. Step 2: Convert to fraction form
    714,312.12/985,747.86 = 392,027.52/x
  3. Step 3: Cross multiply
    714,312.12x = 985,747.86 × 392,027.52
  4. Step 4: Simplify right side
    714,312.12x = 386,440,288,901.11
  5. Step 5: Solve for x
    x = 386,440,288,901.11/714,312.12
  6. Step 6: Final answer
    x = 540,996.40

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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.