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Finding the Fourth Proportional to 400,546.80, 600,156.53 and 281,637.18

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Solution

The fourth proportional to 400,546.80, 600,156.53 and 281,637.18 is: 421,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,546.80 : 600,156.53 = 281,637.18 : x
  2. Step 2: Convert to fraction form
    400,546.80/600,156.53 = 281,637.18/x
  3. Step 3: Cross multiply
    400,546.80x = 600,156.53 × 281,637.18
  4. Step 4: Simplify right side
    400,546.80x = 169,026,390,371.10
  5. Step 5: Solve for x
    x = 169,026,390,371.10/400,546.80
  6. Step 6: Final answer
    x = 421,989.12

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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.