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Finding the Fourth Proportional to 402,640.18, 603,517.40 and 165,853.68

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Solution

The fourth proportional to 402,640.18, 603,517.40 and 165,853.68 is: 248,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,640.18 : 603,517.40 = 165,853.68 : x
  2. Step 2: Convert to fraction form
    402,640.18/603,517.40 = 165,853.68/x
  3. Step 3: Cross multiply
    402,640.18x = 603,517.40 × 165,853.68
  4. Step 4: Simplify right side
    402,640.18x = 100,095,581,734.03
  5. Step 5: Solve for x
    x = 100,095,581,734.03/402,640.18
  6. Step 6: Final answer
    x = 248,598.10

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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.