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Finding the Fourth Proportional to 359,309.40, 538,920.90 and 148,925.40

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Solution

The fourth proportional to 359,309.40, 538,920.90 and 148,925.40 is: 223,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,309.40 : 538,920.90 = 148,925.40 : x
  2. Step 2: Convert to fraction form
    359,309.40/538,920.90 = 148,925.40/x
  3. Step 3: Cross multiply
    359,309.40x = 538,920.90 × 148,925.40
  4. Step 4: Simplify right side
    359,309.40x = 80,259,010,600.86
  5. Step 5: Solve for x
    x = 80,259,010,600.86/359,309.40
  6. Step 6: Final answer
    x = 223,370.19

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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.