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Finding the Fourth Proportional to 318,658.20, 477,411.30 and 185,429.40

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Solution

The fourth proportional to 318,658.20, 477,411.30 and 185,429.40 is: 277,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,658.20 : 477,411.30 = 185,429.40 : x
  2. Step 2: Convert to fraction form
    318,658.20/477,411.30 = 185,429.40/x
  3. Step 3: Cross multiply
    318,658.20x = 477,411.30 × 185,429.40
  4. Step 4: Simplify right side
    318,658.20x = 88,526,090,912.22
  5. Step 5: Solve for x
    x = 88,526,090,912.22/318,658.20
  6. Step 6: Final answer
    x = 277,808.92

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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.