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Finding the Fourth Proportional to 668,117, 1,002,233.82 and 169,481

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Solution

The fourth proportional to 668,117, 1,002,233.82 and 169,481 is: 254,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,117 : 1,002,233.82 = 169,481 : x
  2. Step 2: Convert to fraction form
    668,117/1,002,233.82 = 169,481/x
  3. Step 3: Cross multiply
    668,117x = 1,002,233.82 × 169,481
  4. Step 4: Simplify right side
    668,117x = 169,859,590,047.42
  5. Step 5: Solve for x
    x = 169,859,590,047.42/668,117
  6. Step 6: Final answer
    x = 254,236.29

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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.