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Finding the Fourth Proportional to 398,718.88, 597,220.72 and 188,041.12

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Solution

The fourth proportional to 398,718.88, 597,220.72 and 188,041.12 is: 281,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,718.88 : 597,220.72 = 188,041.12 : x
  2. Step 2: Convert to fraction form
    398,718.88/597,220.72 = 188,041.12/x
  3. Step 3: Cross multiply
    398,718.88x = 597,220.72 × 188,041.12
  4. Step 4: Simplify right side
    398,718.88x = 112,302,053,076.01
  5. Step 5: Solve for x
    x = 112,302,053,076.01/398,718.88
  6. Step 6: Final answer
    x = 281,657.22

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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.