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Finding the Fourth Proportional to 511,383.18, 767,105.01 and 156,421.74

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Solution

The fourth proportional to 511,383.18, 767,105.01 and 156,421.74 is: 234,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,383.18 : 767,105.01 = 156,421.74 : x
  2. Step 2: Convert to fraction form
    511,383.18/767,105.01 = 156,421.74/x
  3. Step 3: Cross multiply
    511,383.18x = 767,105.01 × 156,421.74
  4. Step 4: Simplify right side
    511,383.18x = 119,991,900,426.92
  5. Step 5: Solve for x
    x = 119,991,900,426.92/511,383.18
  6. Step 6: Final answer
    x = 234,641.86

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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.