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Finding the Fourth Proportional to 714,345.23, 985,856.90 and 392,109.90

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Solution

The fourth proportional to 714,345.23, 985,856.90 and 392,109.90 is: 541,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,345.23 : 985,856.90 = 392,109.90 : x
  2. Step 2: Convert to fraction form
    714,345.23/985,856.90 = 392,109.90/x
  3. Step 3: Cross multiply
    714,345.23x = 985,856.90 × 392,109.90
  4. Step 4: Simplify right side
    714,345.23x = 386,564,248,512.76
  5. Step 5: Solve for x
    x = 386,564,248,512.76/714,345.23
  6. Step 6: Final answer
    x = 541,144.86

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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.