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Finding the Fourth Proportional to 398,702.80, 598,054.20 and 161,966.80

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Solution

The fourth proportional to 398,702.80, 598,054.20 and 161,966.80 is: 242,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,702.80 : 598,054.20 = 161,966.80 : x
  2. Step 2: Convert to fraction form
    398,702.80/598,054.20 = 161,966.80/x
  3. Step 3: Cross multiply
    398,702.80x = 598,054.20 × 161,966.80
  4. Step 4: Simplify right side
    398,702.80x = 96,864,925,000.56
  5. Step 5: Solve for x
    x = 96,864,925,000.56/398,702.80
  6. Step 6: Final answer
    x = 242,950.20

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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.