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Finding the Fourth Proportional to 307,705.18, 424,654.50 and 171,765.85

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Solution

The fourth proportional to 307,705.18, 424,654.50 and 171,765.85 is: 237,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,705.18 : 424,654.50 = 171,765.85 : x
  2. Step 2: Convert to fraction form
    307,705.18/424,654.50 = 171,765.85/x
  3. Step 3: Cross multiply
    307,705.18x = 424,654.50 × 171,765.85
  4. Step 4: Simplify right side
    307,705.18x = 72,941,141,148.83
  5. Step 5: Solve for x
    x = 72,941,141,148.83/307,705.18
  6. Step 6: Final answer
    x = 237,048.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.