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Finding the Fourth Proportional to 463,520,458.40, 695,280,687.60 and 388,693,565.60

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Solution

The fourth proportional to 463,520,458.40, 695,280,687.60 and 388,693,565.60 is: 583,040,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,520,458.40 : 695,280,687.60 = 388,693,565.60 : x
  2. Step 2: Convert to fraction form
    463,520,458.40/695,280,687.60 = 388,693,565.60/x
  3. Step 3: Cross multiply
    463,520,458.40x = 695,280,687.60 × 388,693,565.60
  4. Step 4: Simplify right side
    463,520,458.40x = 270,251,129,556,063,744
  5. Step 5: Solve for x
    x = 270,251,129,556,063,744/463,520,458.40
  6. Step 6: Final answer
    x = 583,040,348.40

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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.