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Finding the Fourth Proportional to 454,573.91, 681,937.41 and 138,957

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Solution

The fourth proportional to 454,573.91, 681,937.41 and 138,957 is: 208,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,573.91 : 681,937.41 = 138,957 : x
  2. Step 2: Convert to fraction form
    454,573.91/681,937.41 = 138,957/x
  3. Step 3: Cross multiply
    454,573.91x = 681,937.41 × 138,957
  4. Step 4: Simplify right side
    454,573.91x = 94,759,976,681.37
  5. Step 5: Solve for x
    x = 94,759,976,681.37/454,573.91
  6. Step 6: Final answer
    x = 208,458.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.