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Finding the Fourth Proportional to 298,502.88, 447,813.41 and 85,272.63

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Solution

The fourth proportional to 298,502.88, 447,813.41 and 85,272.63 is: 127,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,502.88 : 447,813.41 = 85,272.63 : x
  2. Step 2: Convert to fraction form
    298,502.88/447,813.41 = 85,272.63/x
  3. Step 3: Cross multiply
    298,502.88x = 447,813.41 × 85,272.63
  4. Step 4: Simplify right side
    298,502.88x = 38,186,228,112.91
  5. Step 5: Solve for x
    x = 38,186,228,112.91/298,502.88
  6. Step 6: Final answer
    x = 127,925.83

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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.