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Finding the Fourth Proportional to 511,153.47, 766,846.85 and 156,217.95

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Solution

The fourth proportional to 511,153.47, 766,846.85 and 156,217.95 is: 234,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,153.47 : 766,846.85 = 156,217.95 : x
  2. Step 2: Convert to fraction form
    511,153.47/766,846.85 = 156,217.95/x
  3. Step 3: Cross multiply
    511,153.47x = 766,846.85 × 156,217.95
  4. Step 4: Simplify right side
    511,153.47x = 119,795,242,089.87
  5. Step 5: Solve for x
    x = 119,795,242,089.87/511,153.47
  6. Step 6: Final answer
    x = 234,362.57

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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.