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Finding the Fourth Proportional to 268,364.66, 402,484.68 and 78,774.11

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Solution

The fourth proportional to 268,364.66, 402,484.68 and 78,774.11 is: 118,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,364.66 : 402,484.68 = 78,774.11 : x
  2. Step 2: Convert to fraction form
    268,364.66/402,484.68 = 78,774.11/x
  3. Step 3: Cross multiply
    268,364.66x = 402,484.68 × 78,774.11
  4. Step 4: Simplify right side
    268,364.66x = 31,705,373,461.85
  5. Step 5: Solve for x
    x = 31,705,373,461.85/268,364.66
  6. Step 6: Final answer
    x = 118,142.88

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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.