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Finding the Fourth Proportional to 318,488.38, 477,732.93 and 81,833.02

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Solution

The fourth proportional to 318,488.38, 477,732.93 and 81,833.02 is: 122,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,488.38 : 477,732.93 = 81,833.02 : x
  2. Step 2: Convert to fraction form
    318,488.38/477,732.93 = 81,833.02/x
  3. Step 3: Cross multiply
    318,488.38x = 477,732.93 × 81,833.02
  4. Step 4: Simplify right side
    318,488.38x = 39,094,328,415.35
  5. Step 5: Solve for x
    x = 39,094,328,415.35/318,488.38
  6. Step 6: Final answer
    x = 122,749.62

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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.