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Finding the Fourth Proportional to 462,407, 693,610.50 and 129,983

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Solution

The fourth proportional to 462,407, 693,610.50 and 129,983 is: 194,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,407 : 693,610.50 = 129,983 : x
  2. Step 2: Convert to fraction form
    462,407/693,610.50 = 129,983/x
  3. Step 3: Cross multiply
    462,407x = 693,610.50 × 129,983
  4. Step 4: Simplify right side
    462,407x = 90,157,573,621.50
  5. Step 5: Solve for x
    x = 90,157,573,621.50/462,407
  6. Step 6: Final answer
    x = 194,974.50

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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.