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Finding the Fourth Proportional to 230,657.48, 318,253 and 140,011.20

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Solution

The fourth proportional to 230,657.48, 318,253 and 140,011.20 is: 193,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,657.48 : 318,253 = 140,011.20 : x
  2. Step 2: Convert to fraction form
    230,657.48/318,253 = 140,011.20/x
  3. Step 3: Cross multiply
    230,657.48x = 318,253 × 140,011.20
  4. Step 4: Simplify right side
    230,657.48x = 44,558,984,433.60
  5. Step 5: Solve for x
    x = 44,558,984,433.60/230,657.48
  6. Step 6: Final answer
    x = 193,182.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.