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Finding the Fourth Proportional to 511,449.15, 767,145.99 and 156,463.20

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Solution

The fourth proportional to 511,449.15, 767,145.99 and 156,463.20 is: 234,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,449.15 : 767,145.99 = 156,463.20 : x
  2. Step 2: Convert to fraction form
    511,449.15/767,145.99 = 156,463.20/x
  3. Step 3: Cross multiply
    511,449.15x = 767,145.99 × 156,463.20
  4. Step 4: Simplify right side
    511,449.15x = 120,030,116,462.57
  5. Step 5: Solve for x
    x = 120,030,116,462.57/511,449.15
  6. Step 6: Final answer
    x = 234,686.32

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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.