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Finding the Fourth Proportional to 359,255.20, 538,688.40 and 148,914.40

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Solution

The fourth proportional to 359,255.20, 538,688.40 and 148,914.40 is: 223,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,255.20 : 538,688.40 = 148,914.40 : x
  2. Step 2: Convert to fraction form
    359,255.20/538,688.40 = 148,914.40/x
  3. Step 3: Cross multiply
    359,255.20x = 538,688.40 × 148,914.40
  4. Step 4: Simplify right side
    359,255.20x = 80,218,459,872.96
  5. Step 5: Solve for x
    x = 80,218,459,872.96/359,255.20
  6. Step 6: Final answer
    x = 223,291.02

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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.