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Finding the Fourth Proportional to 296,205.60, 408,761.88 and 160,239

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Solution

The fourth proportional to 296,205.60, 408,761.88 and 160,239 is: 221,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,205.60 : 408,761.88 = 160,239 : x
  2. Step 2: Convert to fraction form
    296,205.60/408,761.88 = 160,239/x
  3. Step 3: Cross multiply
    296,205.60x = 408,761.88 × 160,239
  4. Step 4: Simplify right side
    296,205.60x = 65,499,594,889.32
  5. Step 5: Solve for x
    x = 65,499,594,889.32/296,205.60
  6. Step 6: Final answer
    x = 221,128.82

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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.