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Finding the Fourth Proportional to 385,924.48, 578,834.16 and 101,591.20

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Solution

The fourth proportional to 385,924.48, 578,834.16 and 101,591.20 is: 152,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,924.48 : 578,834.16 = 101,591.20 : x
  2. Step 2: Convert to fraction form
    385,924.48/578,834.16 = 101,591.20/x
  3. Step 3: Cross multiply
    385,924.48x = 578,834.16 × 101,591.20
  4. Step 4: Simplify right side
    385,924.48x = 58,804,456,915.39
  5. Step 5: Solve for x
    x = 58,804,456,915.39/385,924.48
  6. Step 6: Final answer
    x = 152,372.96

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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.