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Finding the Fourth Proportional to 768,400.80, 1,151,132.40 and 413,296.80

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Solution

The fourth proportional to 768,400.80, 1,151,132.40 and 413,296.80 is: 619,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,400.80 : 1,151,132.40 = 413,296.80 : x
  2. Step 2: Convert to fraction form
    768,400.80/1,151,132.40 = 413,296.80/x
  3. Step 3: Cross multiply
    768,400.80x = 1,151,132.40 × 413,296.80
  4. Step 4: Simplify right side
    768,400.80x = 475,759,337,296.32
  5. Step 5: Solve for x
    x = 475,759,337,296.32/768,400.80
  6. Step 6: Final answer
    x = 619,155.18

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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.