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Finding the Fourth Proportional to 318,742.96, 478,002.88 and 94,043.76

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Solution

The fourth proportional to 318,742.96, 478,002.88 and 94,043.76 is: 141,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,742.96 : 478,002.88 = 94,043.76 : x
  2. Step 2: Convert to fraction form
    318,742.96/478,002.88 = 94,043.76/x
  3. Step 3: Cross multiply
    318,742.96x = 478,002.88 × 94,043.76
  4. Step 4: Simplify right side
    318,742.96x = 44,953,188,126.03
  5. Step 5: Solve for x
    x = 44,953,188,126.03/318,742.96
  6. Step 6: Final answer
    x = 141,032.72

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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.