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Finding the Fourth Proportional to 256,824.32, 385,140.69 and 88,296.93

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Solution

The fourth proportional to 256,824.32, 385,140.69 and 88,296.93 is: 132,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,824.32 : 385,140.69 = 88,296.93 : x
  2. Step 2: Convert to fraction form
    256,824.32/385,140.69 = 88,296.93/x
  3. Step 3: Cross multiply
    256,824.32x = 385,140.69 × 88,296.93
  4. Step 4: Simplify right side
    256,824.32x = 34,006,740,545.08
  5. Step 5: Solve for x
    x = 34,006,740,545.08/256,824.32
  6. Step 6: Final answer
    x = 132,412.46

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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.