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Finding the Fourth Proportional to 511,449.78, 767,146.93 and 156,463.83

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Solution

The fourth proportional to 511,449.78, 767,146.93 and 156,463.83 is: 234,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,449.78 : 767,146.93 = 156,463.83 : x
  2. Step 2: Convert to fraction form
    511,449.78/767,146.93 = 156,463.83/x
  3. Step 3: Cross multiply
    511,449.78x = 767,146.93 × 156,463.83
  4. Step 4: Simplify right side
    511,449.78x = 120,030,742,222.49
  5. Step 5: Solve for x
    x = 120,030,742,222.49/511,449.78
  6. Step 6: Final answer
    x = 234,687.25

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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.