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Finding the Fourth Proportional to 385,715.76, 578,611.70 and 132,962.97

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Solution

The fourth proportional to 385,715.76, 578,611.70 and 132,962.97 is: 199,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,715.76 : 578,611.70 = 132,962.97 : x
  2. Step 2: Convert to fraction form
    385,715.76/578,611.70 = 132,962.97/x
  3. Step 3: Cross multiply
    385,715.76x = 578,611.70 × 132,962.97
  4. Step 4: Simplify right side
    385,715.76x = 76,933,929,443.93
  5. Step 5: Solve for x
    x = 76,933,929,443.93/385,715.76
  6. Step 6: Final answer
    x = 199,457.57

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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.