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Finding the Fourth Proportional to 385,356.40, 578,005.80 and 160,658.80

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Solution

The fourth proportional to 385,356.40, 578,005.80 and 160,658.80 is: 240,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,356.40 : 578,005.80 = 160,658.80 : x
  2. Step 2: Convert to fraction form
    385,356.40/578,005.80 = 160,658.80/x
  3. Step 3: Cross multiply
    385,356.40x = 578,005.80 × 160,658.80
  4. Step 4: Simplify right side
    385,356.40x = 92,861,718,221.04
  5. Step 5: Solve for x
    x = 92,861,718,221.04/385,356.40
  6. Step 6: Final answer
    x = 240,976.19

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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.