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Finding the Fourth Proportional to 224,657.43, 310,001.74 and 129,194.88

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Solution

The fourth proportional to 224,657.43, 310,001.74 and 129,194.88 is: 178,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,657.43 : 310,001.74 = 129,194.88 : x
  2. Step 2: Convert to fraction form
    224,657.43/310,001.74 = 129,194.88/x
  3. Step 3: Cross multiply
    224,657.43x = 310,001.74 × 129,194.88
  4. Step 4: Simplify right side
    224,657.43x = 40,050,637,599.09
  5. Step 5: Solve for x
    x = 40,050,637,599.09/224,657.43
  6. Step 6: Final answer
    x = 178,274.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.