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Finding the Fourth Proportional to 385,965.41, 578,750.67 and 161,264.52

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Solution

The fourth proportional to 385,965.41, 578,750.67 and 161,264.52 is: 241,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,965.41 : 578,750.67 = 161,264.52 : x
  2. Step 2: Convert to fraction form
    385,965.41/578,750.67 = 161,264.52/x
  3. Step 3: Cross multiply
    385,965.41x = 578,750.67 × 161,264.52
  4. Step 4: Simplify right side
    385,965.41x = 93,331,948,997.23
  5. Step 5: Solve for x
    x = 93,331,948,997.23/385,965.41
  6. Step 6: Final answer
    x = 241,814.29

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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.