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Finding the Fourth Proportional to 398,703.80, 598,055.70 and 161,967.80

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Solution

The fourth proportional to 398,703.80, 598,055.70 and 161,967.80 is: 242,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,703.80 : 598,055.70 = 161,967.80 : x
  2. Step 2: Convert to fraction form
    398,703.80/598,055.70 = 161,967.80/x
  3. Step 3: Cross multiply
    398,703.80x = 598,055.70 × 161,967.80
  4. Step 4: Simplify right side
    398,703.80x = 96,865,766,006.46
  5. Step 5: Solve for x
    x = 96,865,766,006.46/398,703.80
  6. Step 6: Final answer
    x = 242,951.70

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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.