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Finding the Fourth Proportional to 311,148.32, 466,719.42 and 142,620.80

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Solution

The fourth proportional to 311,148.32, 466,719.42 and 142,620.80 is: 213,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,148.32 : 466,719.42 = 142,620.80 : x
  2. Step 2: Convert to fraction form
    311,148.32/466,719.42 = 142,620.80/x
  3. Step 3: Cross multiply
    311,148.32x = 466,719.42 × 142,620.80
  4. Step 4: Simplify right side
    311,148.32x = 66,563,897,055.94
  5. Step 5: Solve for x
    x = 66,563,897,055.94/311,148.32
  6. Step 6: Final answer
    x = 213,929.80

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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.