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Finding the Fourth Proportional to 478,045.33, 659,677.50 and 263,143.42

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Solution

The fourth proportional to 478,045.33, 659,677.50 and 263,143.42 is: 363,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,045.33 : 659,677.50 = 263,143.42 : x
  2. Step 2: Convert to fraction form
    478,045.33/659,677.50 = 263,143.42/x
  3. Step 3: Cross multiply
    478,045.33x = 659,677.50 × 263,143.42
  4. Step 4: Simplify right side
    478,045.33x = 173,589,791,797.86
  5. Step 5: Solve for x
    x = 173,589,791,797.86/478,045.33
  6. Step 6: Final answer
    x = 363,124.13

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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.