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Finding the Fourth Proportional to 538,308.28, 806,700.72 and 298,527.66

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Solution

The fourth proportional to 538,308.28, 806,700.72 and 298,527.66 is: 447,369.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,308.28 : 806,700.72 = 298,527.66 : x
  2. Step 2: Convert to fraction form
    538,308.28/806,700.72 = 298,527.66/x
  3. Step 3: Cross multiply
    538,308.28x = 806,700.72 × 298,527.66
  4. Step 4: Simplify right side
    538,308.28x = 240,822,478,261.92
  5. Step 5: Solve for x
    x = 240,822,478,261.92/538,308.28
  6. Step 6: Final answer
    x = 447,369.08

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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.