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Finding the Fourth Proportional to 614,425.25, 847,894.69 and 342,476.91

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Solution

The fourth proportional to 614,425.25, 847,894.69 and 342,476.91 is: 472,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,425.25 : 847,894.69 = 342,476.91 : x
  2. Step 2: Convert to fraction form
    614,425.25/847,894.69 = 342,476.91/x
  3. Step 3: Cross multiply
    614,425.25x = 847,894.69 × 342,476.91
  4. Step 4: Simplify right side
    614,425.25x = 290,384,357,044.31
  5. Step 5: Solve for x
    x = 290,384,357,044.31/614,425.25
  6. Step 6: Final answer
    x = 472,611.37

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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.