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Finding the Fourth Proportional to 359,453.28, 539,249.04 and 137,820

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Solution

The fourth proportional to 359,453.28, 539,249.04 and 137,820 is: 206,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,453.28 : 539,249.04 = 137,820 : x
  2. Step 2: Convert to fraction form
    359,453.28/539,249.04 = 137,820/x
  3. Step 3: Cross multiply
    359,453.28x = 539,249.04 × 137,820
  4. Step 4: Simplify right side
    359,453.28x = 74,319,302,692.80
  5. Step 5: Solve for x
    x = 74,319,302,692.80/359,453.28
  6. Step 6: Final answer
    x = 206,756.50

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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.