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Finding the Fourth Proportional to 498,605, 687,725.72 and 337,389.08

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Solution

The fourth proportional to 498,605, 687,725.72 and 337,389.08 is: 465,360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,605 : 687,725.72 = 337,389.08 : x
  2. Step 2: Convert to fraction form
    498,605/687,725.72 = 337,389.08/x
  3. Step 3: Cross multiply
    498,605x = 687,725.72 × 337,389.08
  4. Step 4: Simplify right side
    498,605x = 232,031,147,963.14
  5. Step 5: Solve for x
    x = 232,031,147,963.14/498,605
  6. Step 6: Final answer
    x = 465,360.65

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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.