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Finding the Fourth Proportional to 478,146.78, 659,846.88 and 263,294.46

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Solution

The fourth proportional to 478,146.78, 659,846.88 and 263,294.46 is: 363,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,146.78 : 659,846.88 = 263,294.46 : x
  2. Step 2: Convert to fraction form
    478,146.78/659,846.88 = 263,294.46/x
  3. Step 3: Cross multiply
    478,146.78x = 659,846.88 × 263,294.46
  4. Step 4: Simplify right side
    478,146.78x = 173,734,027,952.29
  5. Step 5: Solve for x
    x = 173,734,027,952.29/478,146.78
  6. Step 6: Final answer
    x = 363,348.74

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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.