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Finding the Fourth Proportional to 359,786.16, 539,580.78 and 135,129.24

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Solution

The fourth proportional to 359,786.16, 539,580.78 and 135,129.24 is: 202,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,786.16 : 539,580.78 = 135,129.24 : x
  2. Step 2: Convert to fraction form
    359,786.16/539,580.78 = 135,129.24/x
  3. Step 3: Cross multiply
    359,786.16x = 539,580.78 × 135,129.24
  4. Step 4: Simplify right side
    359,786.16x = 72,913,140,720.01
  5. Step 5: Solve for x
    x = 72,913,140,720.01/359,786.16
  6. Step 6: Final answer
    x = 202,656.88

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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.