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Finding the Fourth Proportional to 402,186.86, 603,282.12 and 135,948.80

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Solution

The fourth proportional to 402,186.86, 603,282.12 and 135,948.80 is: 203,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,186.86 : 603,282.12 = 135,948.80 : x
  2. Step 2: Convert to fraction form
    402,186.86/603,282.12 = 135,948.80/x
  3. Step 3: Cross multiply
    402,186.86x = 603,282.12 × 135,948.80
  4. Step 4: Simplify right side
    402,186.86x = 82,015,480,275.46
  5. Step 5: Solve for x
    x = 82,015,480,275.46/402,186.86
  6. Step 6: Final answer
    x = 203,923.82

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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.