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Finding the Fourth Proportional to 256,827.32, 385,145.19 and 88,299.93

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Solution

The fourth proportional to 256,827.32, 385,145.19 and 88,299.93 is: 132,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,827.32 : 385,145.19 = 88,299.93 : x
  2. Step 2: Convert to fraction form
    256,827.32/385,145.19 = 88,299.93/x
  3. Step 3: Cross multiply
    256,827.32x = 385,145.19 × 88,299.93
  4. Step 4: Simplify right side
    256,827.32x = 34,008,293,316.84
  5. Step 5: Solve for x
    x = 34,008,293,316.84/256,827.32
  6. Step 6: Final answer
    x = 132,416.96

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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.