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Finding the Fourth Proportional to 511,447.28, 767,143.07 and 156,461.30

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Solution

The fourth proportional to 511,447.28, 767,143.07 and 156,461.30 is: 234,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,447.28 : 767,143.07 = 156,461.30 : x
  2. Step 2: Convert to fraction form
    511,447.28/767,143.07 = 156,461.30/x
  3. Step 3: Cross multiply
    511,447.28x = 767,143.07 × 156,461.30
  4. Step 4: Simplify right side
    511,447.28x = 120,028,202,018.19
  5. Step 5: Solve for x
    x = 120,028,202,018.19/511,447.28
  6. Step 6: Final answer
    x = 234,683.43

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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.