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Finding the Fourth Proportional to 498,420, 687,580.08 and 326,262.06

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Solution

The fourth proportional to 498,420, 687,580.08 and 326,262.06 is: 450,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,420 : 687,580.08 = 326,262.06 : x
  2. Step 2: Convert to fraction form
    498,420/687,580.08 = 326,262.06/x
  3. Step 3: Cross multiply
    498,420x = 687,580.08 × 326,262.06
  4. Step 4: Simplify right side
    498,420x = 224,331,293,315.77
  5. Step 5: Solve for x
    x = 224,331,293,315.77/498,420
  6. Step 6: Final answer
    x = 450,084.85

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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.