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Finding the Fourth Proportional to 359,263.20, 538,230.60 and 209,575.20

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Solution

The fourth proportional to 359,263.20, 538,230.60 and 209,575.20 is: 313,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,263.20 : 538,230.60 = 209,575.20 : x
  2. Step 2: Convert to fraction form
    359,263.20/538,230.60 = 209,575.20/x
  3. Step 3: Cross multiply
    359,263.20x = 538,230.60 × 209,575.20
  4. Step 4: Simplify right side
    359,263.20x = 112,799,785,641.12
  5. Step 5: Solve for x
    x = 112,799,785,641.12/359,263.20
  6. Step 6: Final answer
    x = 313,975.34

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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.