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Finding the Fourth Proportional to 478,215.80, 659,967.82 and 263,355.86

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Solution

The fourth proportional to 478,215.80, 659,967.82 and 263,355.86 is: 363,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,215.80 : 659,967.82 = 263,355.86 : x
  2. Step 2: Convert to fraction form
    478,215.80/659,967.82 = 263,355.86/x
  3. Step 3: Cross multiply
    478,215.80x = 659,967.82 × 263,355.86
  4. Step 4: Simplify right side
    478,215.80x = 173,806,390,087.64
  5. Step 5: Solve for x
    x = 173,806,390,087.64/478,215.80
  6. Step 6: Final answer
    x = 363,447.61

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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.