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Finding the Fourth Proportional to 256,812.94, 385,271.96 and 88,311.38

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Solution

The fourth proportional to 256,812.94, 385,271.96 and 88,311.38 is: 132,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,812.94 : 385,271.96 = 88,311.38 : x
  2. Step 2: Convert to fraction form
    256,812.94/385,271.96 = 88,311.38/x
  3. Step 3: Cross multiply
    256,812.94x = 385,271.96 × 88,311.38
  4. Step 4: Simplify right side
    256,812.94x = 34,023,898,462.90
  5. Step 5: Solve for x
    x = 34,023,898,462.90/256,812.94
  6. Step 6: Final answer
    x = 132,485.14

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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.