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Finding the Fourth Proportional to 385,966.91, 578,752.92 and 161,266.02

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Solution

The fourth proportional to 385,966.91, 578,752.92 and 161,266.02 is: 241,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,966.91 : 578,752.92 = 161,266.02 : x
  2. Step 2: Convert to fraction form
    385,966.91/578,752.92 = 161,266.02/x
  3. Step 3: Cross multiply
    385,966.91x = 578,752.92 × 161,266.02
  4. Step 4: Simplify right side
    385,966.91x = 93,333,179,971.78
  5. Step 5: Solve for x
    x = 93,333,179,971.78/385,966.91
  6. Step 6: Final answer
    x = 241,816.54

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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.