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Finding the Fourth Proportional to 539,209.70, 808,296.15 and 419,200.10

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Solution

The fourth proportional to 539,209.70, 808,296.15 and 419,200.10 is: 628,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,209.70 : 808,296.15 = 419,200.10 : x
  2. Step 2: Convert to fraction form
    539,209.70/808,296.15 = 419,200.10/x
  3. Step 3: Cross multiply
    539,209.70x = 808,296.15 × 419,200.10
  4. Step 4: Simplify right side
    539,209.70x = 338,837,826,909.62
  5. Step 5: Solve for x
    x = 338,837,826,909.62/539,209.70
  6. Step 6: Final answer
    x = 628,397.13

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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.