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Finding the Fourth Proportional to 311,275.40, 466,970.70 and 100,920.20

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Solution

The fourth proportional to 311,275.40, 466,970.70 and 100,920.20 is: 151,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,275.40 : 466,970.70 = 100,920.20 : x
  2. Step 2: Convert to fraction form
    311,275.40/466,970.70 = 100,920.20/x
  3. Step 3: Cross multiply
    311,275.40x = 466,970.70 × 100,920.20
  4. Step 4: Simplify right side
    311,275.40x = 47,126,776,438.14
  5. Step 5: Solve for x
    x = 47,126,776,438.14/311,275.40
  6. Step 6: Final answer
    x = 151,398.97

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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.