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Finding the Fourth Proportional to 698,764, 964,288.52 and 392,841.74

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Solution

The fourth proportional to 698,764, 964,288.52 and 392,841.74 is: 542,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,764 : 964,288.52 = 392,841.74 : x
  2. Step 2: Convert to fraction form
    698,764/964,288.52 = 392,841.74/x
  3. Step 3: Cross multiply
    698,764x = 964,288.52 × 392,841.74
  4. Step 4: Simplify right side
    698,764x = 378,812,780,058.83
  5. Step 5: Solve for x
    x = 378,812,780,058.83/698,764
  6. Step 6: Final answer
    x = 542,118.34

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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.