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Finding the Fourth Proportional to 360,981.32, 497,997.80 and 217,661.74

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Solution

The fourth proportional to 360,981.32, 497,997.80 and 217,661.74 is: 300,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,981.32 : 497,997.80 = 217,661.74 : x
  2. Step 2: Convert to fraction form
    360,981.32/497,997.80 = 217,661.74/x
  3. Step 3: Cross multiply
    360,981.32x = 497,997.80 × 217,661.74
  4. Step 4: Simplify right side
    360,981.32x = 108,395,065,174.18
  5. Step 5: Solve for x
    x = 108,395,065,174.18/360,981.32
  6. Step 6: Final answer
    x = 300,278.88

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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.