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Finding the Fourth Proportional to 309,697.89, 464,545.89 and 85,058.52

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Solution

The fourth proportional to 309,697.89, 464,545.89 and 85,058.52 is: 127,587.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,697.89 : 464,545.89 = 85,058.52 : x
  2. Step 2: Convert to fraction form
    309,697.89/464,545.89 = 85,058.52/x
  3. Step 3: Cross multiply
    309,697.89x = 464,545.89 × 85,058.52
  4. Step 4: Simplify right side
    309,697.89x = 39,513,585,230.65
  5. Step 5: Solve for x
    x = 39,513,585,230.65/309,697.89
  6. Step 6: Final answer
    x = 127,587.52

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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.