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Finding the Fourth Proportional to 538,330.27, 807,498.46 and 138,943.74

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Solution

The fourth proportional to 538,330.27, 807,498.46 and 138,943.74 is: 208,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,330.27 : 807,498.46 = 138,943.74 : x
  2. Step 2: Convert to fraction form
    538,330.27/807,498.46 = 138,943.74/x
  3. Step 3: Cross multiply
    538,330.27x = 807,498.46 × 138,943.74
  4. Step 4: Simplify right side
    538,330.27x = 112,196,851,344.43
  5. Step 5: Solve for x
    x = 112,196,851,344.43/538,330.27
  6. Step 6: Final answer
    x = 208,416.39

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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.