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Finding the Fourth Proportional to 311,410.72, 466,753.20 and 142,948.84

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Solution

The fourth proportional to 311,410.72, 466,753.20 and 142,948.84 is: 214,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,410.72 : 466,753.20 = 142,948.84 : x
  2. Step 2: Convert to fraction form
    311,410.72/466,753.20 = 142,948.84/x
  3. Step 3: Cross multiply
    311,410.72x = 466,753.20 × 142,948.84
  4. Step 4: Simplify right side
    311,410.72x = 66,721,828,506.29
  5. Step 5: Solve for x
    x = 66,721,828,506.29/311,410.72
  6. Step 6: Final answer
    x = 214,256.68

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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.