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Finding the Fourth Proportional to 359,416.20, 539,318.70 and 149,075.40

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Solution

The fourth proportional to 359,416.20, 539,318.70 and 149,075.40 is: 223,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,416.20 : 539,318.70 = 149,075.40 : x
  2. Step 2: Convert to fraction form
    359,416.20/539,318.70 = 149,075.40/x
  3. Step 3: Cross multiply
    359,416.20x = 539,318.70 × 149,075.40
  4. Step 4: Simplify right side
    359,416.20x = 80,399,150,929.98
  5. Step 5: Solve for x
    x = 80,399,150,929.98/359,416.20
  6. Step 6: Final answer
    x = 223,693.73

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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.