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Finding the Fourth Proportional to 359,147.76, 538,718.08 and 137,531.76

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Solution

The fourth proportional to 359,147.76, 538,718.08 and 137,531.76 is: 206,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,147.76 : 538,718.08 = 137,531.76 : x
  2. Step 2: Convert to fraction form
    359,147.76/538,718.08 = 137,531.76/x
  3. Step 3: Cross multiply
    359,147.76x = 538,718.08 × 137,531.76
  4. Step 4: Simplify right side
    359,147.76x = 74,090,845,686.22
  5. Step 5: Solve for x
    x = 74,090,845,686.22/359,147.76
  6. Step 6: Final answer
    x = 206,296.28

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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.