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Finding the Fourth Proportional to 614,335.96, 847,787.79 and 342,421.35

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Solution

The fourth proportional to 614,335.96, 847,787.79 and 342,421.35 is: 472,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,335.96 : 847,787.79 = 342,421.35 : x
  2. Step 2: Convert to fraction form
    614,335.96/847,787.79 = 342,421.35/x
  3. Step 3: Cross multiply
    614,335.96x = 847,787.79 × 342,421.35
  4. Step 4: Simplify right side
    614,335.96x = 290,300,639,565.32
  5. Step 5: Solve for x
    x = 290,300,639,565.32/614,335.96
  6. Step 6: Final answer
    x = 472,543.78

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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.