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Finding the Fourth Proportional to 359,281.60, 538,922.40 and 279,966.40

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Solution

The fourth proportional to 359,281.60, 538,922.40 and 279,966.40 is: 419,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,281.60 : 538,922.40 = 279,966.40 : x
  2. Step 2: Convert to fraction form
    359,281.60/538,922.40 = 279,966.40/x
  3. Step 3: Cross multiply
    359,281.60x = 538,922.40 × 279,966.40
  4. Step 4: Simplify right side
    359,281.60x = 150,880,164,207.36
  5. Step 5: Solve for x
    x = 150,880,164,207.36/359,281.60
  6. Step 6: Final answer
    x = 419,949.60

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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.