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Finding the Fourth Proportional to 402,638.60, 603,957.90 and 165,859.40

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Solution

The fourth proportional to 402,638.60, 603,957.90 and 165,859.40 is: 248,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,638.60 : 603,957.90 = 165,859.40 : x
  2. Step 2: Convert to fraction form
    402,638.60/603,957.90 = 165,859.40/x
  3. Step 3: Cross multiply
    402,638.60x = 603,957.90 × 165,859.40
  4. Step 4: Simplify right side
    402,638.60x = 100,172,094,919.26
  5. Step 5: Solve for x
    x = 100,172,094,919.26/402,638.60
  6. Step 6: Final answer
    x = 248,789.10

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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.