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Finding the Fourth Proportional to 438,470.80, 657,706.20 and 157,997.20

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Solution

The fourth proportional to 438,470.80, 657,706.20 and 157,997.20 is: 236,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,470.80 : 657,706.20 = 157,997.20 : x
  2. Step 2: Convert to fraction form
    438,470.80/657,706.20 = 157,997.20/x
  3. Step 3: Cross multiply
    438,470.80x = 657,706.20 × 157,997.20
  4. Step 4: Simplify right side
    438,470.80x = 103,915,738,022.64
  5. Step 5: Solve for x
    x = 103,915,738,022.64/438,470.80
  6. Step 6: Final answer
    x = 236,995.80

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1.5x scale

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.