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Finding the Fourth Proportional to 263,149.86, 363,148.85 and 145,280.47

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Solution

The fourth proportional to 263,149.86, 363,148.85 and 145,280.47 is: 200,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,149.86 : 363,148.85 = 145,280.47 : x
  2. Step 2: Convert to fraction form
    263,149.86/363,148.85 = 145,280.47/x
  3. Step 3: Cross multiply
    263,149.86x = 363,148.85 × 145,280.47
  4. Step 4: Simplify right side
    263,149.86x = 52,758,433,792.22
  5. Step 5: Solve for x
    x = 52,758,433,792.22/263,149.86
  6. Step 6: Final answer
    x = 200,488.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.