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Finding the Fourth Proportional to 385,363.80, 578,045.70 and 160,649.55

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Solution

The fourth proportional to 385,363.80, 578,045.70 and 160,649.55 is: 240,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,363.80 : 578,045.70 = 160,649.55 : x
  2. Step 2: Convert to fraction form
    385,363.80/578,045.70 = 160,649.55/x
  3. Step 3: Cross multiply
    385,363.80x = 578,045.70 × 160,649.55
  4. Step 4: Simplify right side
    385,363.80x = 92,862,781,584.44
  5. Step 5: Solve for x
    x = 92,862,781,584.44/385,363.80
  6. Step 6: Final answer
    x = 240,974.33

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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.