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Finding the Fourth Proportional to 291,870.53, 437,769.56 and 78,655.11

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Solution

The fourth proportional to 291,870.53, 437,769.56 and 78,655.11 is: 117,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,870.53 : 437,769.56 = 78,655.11 : x
  2. Step 2: Convert to fraction form
    291,870.53/437,769.56 = 78,655.11/x
  3. Step 3: Cross multiply
    291,870.53x = 437,769.56 × 78,655.11
  4. Step 4: Simplify right side
    291,870.53x = 34,432,812,503.18
  5. Step 5: Solve for x
    x = 34,432,812,503.18/291,870.53
  6. Step 6: Final answer
    x = 117,972.90

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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.