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Finding the Fourth Proportional to 511,677.96, 767,518.73 and 156,690.42

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Solution

The fourth proportional to 511,677.96, 767,518.73 and 156,690.42 is: 235,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,677.96 : 767,518.73 = 156,690.42 : x
  2. Step 2: Convert to fraction form
    511,677.96/767,518.73 = 156,690.42/x
  3. Step 3: Cross multiply
    511,677.96x = 767,518.73 × 156,690.42
  4. Step 4: Simplify right side
    511,677.96x = 120,262,832,161.57
  5. Step 5: Solve for x
    x = 120,262,832,161.57/511,677.96
  6. Step 6: Final answer
    x = 235,036.18

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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.