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Finding the Fourth Proportional to 390,070.20, 584,449.20 and 333,645.60

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Solution

The fourth proportional to 390,070.20, 584,449.20 and 333,645.60 is: 499,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,070.20 : 584,449.20 = 333,645.60 : x
  2. Step 2: Convert to fraction form
    390,070.20/584,449.20 = 333,645.60/x
  3. Step 3: Cross multiply
    390,070.20x = 584,449.20 × 333,645.60
  4. Step 4: Simplify right side
    390,070.20x = 194,998,904,003.52
  5. Step 5: Solve for x
    x = 194,998,904,003.52/390,070.20
  6. Step 6: Final answer
    x = 499,907.21

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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.