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Finding the Fourth Proportional to 359,830.80, 539,400.60 and 279,824.40

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Solution

The fourth proportional to 359,830.80, 539,400.60 and 279,824.40 is: 419,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,830.80 : 539,400.60 = 279,824.40 : x
  2. Step 2: Convert to fraction form
    359,830.80/539,400.60 = 279,824.40/x
  3. Step 3: Cross multiply
    359,830.80x = 539,400.60 × 279,824.40
  4. Step 4: Simplify right side
    359,830.80x = 150,937,449,254.64
  5. Step 5: Solve for x
    x = 150,937,449,254.64/359,830.80
  6. Step 6: Final answer
    x = 419,467.84

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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.