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Finding the Fourth Proportional to 474,853.88, 712,275.06 and 142,427

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Solution

The fourth proportional to 474,853.88, 712,275.06 and 142,427 is: 213,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,853.88 : 712,275.06 = 142,427 : x
  2. Step 2: Convert to fraction form
    474,853.88/712,275.06 = 142,427/x
  3. Step 3: Cross multiply
    474,853.88x = 712,275.06 × 142,427
  4. Step 4: Simplify right side
    474,853.88x = 101,447,199,970.62
  5. Step 5: Solve for x
    x = 101,447,199,970.62/474,853.88
  6. Step 6: Final answer
    x = 213,638.77

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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.