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Finding the Fourth Proportional to 614,336.09, 847,787.96 and 342,421.47

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Solution

The fourth proportional to 614,336.09, 847,787.96 and 342,421.47 is: 472,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,336.09 : 847,787.96 = 342,421.47 : x
  2. Step 2: Convert to fraction form
    614,336.09/847,787.96 = 342,421.47/x
  3. Step 3: Cross multiply
    614,336.09x = 847,787.96 × 342,421.47
  4. Step 4: Simplify right side
    614,336.09x = 290,300,800,367.56
  5. Step 5: Solve for x
    x = 290,300,800,367.56/614,336.09
  6. Step 6: Final answer
    x = 472,543.95

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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.