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Finding the Fourth Proportional to 361,715.16, 499,270.86 and 218,451

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Solution

The fourth proportional to 361,715.16, 499,270.86 and 218,451 is: 301,525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,715.16 : 499,270.86 = 218,451 : x
  2. Step 2: Convert to fraction form
    361,715.16/499,270.86 = 218,451/x
  3. Step 3: Cross multiply
    361,715.16x = 499,270.86 × 218,451
  4. Step 4: Simplify right side
    361,715.16x = 109,066,218,637.86
  5. Step 5: Solve for x
    x = 109,066,218,637.86/361,715.16
  6. Step 6: Final answer
    x = 301,525.15

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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.