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Finding the Fourth Proportional to 715,510.32, 987,288.12 and 413,646

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Solution

The fourth proportional to 715,510.32, 987,288.12 and 413,646 is: 570,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,510.32 : 987,288.12 = 413,646 : x
  2. Step 2: Convert to fraction form
    715,510.32/987,288.12 = 413,646/x
  3. Step 3: Cross multiply
    715,510.32x = 987,288.12 × 413,646
  4. Step 4: Simplify right side
    715,510.32x = 408,387,781,685.52
  5. Step 5: Solve for x
    x = 408,387,781,685.52/715,510.32
  6. Step 6: Final answer
    x = 570,764.35

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1.5x scale

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.