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Finding the Fourth Proportional to 474,858.20, 712,287.30 and 142,434.20

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Solution

The fourth proportional to 474,858.20, 712,287.30 and 142,434.20 is: 213,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,858.20 : 712,287.30 = 142,434.20 : x
  2. Step 2: Convert to fraction form
    474,858.20/712,287.30 = 142,434.20/x
  3. Step 3: Cross multiply
    474,858.20x = 712,287.30 × 142,434.20
  4. Step 4: Simplify right side
    474,858.20x = 101,454,068,184.22
  5. Step 5: Solve for x
    x = 101,454,068,184.22/474,858.20
  6. Step 6: Final answer
    x = 213,651.29

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Similar ratio
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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.