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Finding the Fourth Proportional to 359,677.20, 539,826.80 and 138,216.72

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Solution

The fourth proportional to 359,677.20, 539,826.80 and 138,216.72 is: 207,444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,677.20 : 539,826.80 = 138,216.72 : x
  2. Step 2: Convert to fraction form
    359,677.20/539,826.80 = 138,216.72/x
  3. Step 3: Cross multiply
    359,677.20x = 539,826.80 × 138,216.72
  4. Step 4: Simplify right side
    359,677.20x = 74,613,089,664.10
  5. Step 5: Solve for x
    x = 74,613,089,664.10/359,677.20
  6. Step 6: Final answer
    x = 207,444.59

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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.