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Finding the Fourth Proportional to 323,681.50, 485,522.25 and 102,065.50

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Solution

The fourth proportional to 323,681.50, 485,522.25 and 102,065.50 is: 153,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,681.50 : 485,522.25 = 102,065.50 : x
  2. Step 2: Convert to fraction form
    323,681.50/485,522.25 = 102,065.50/x
  3. Step 3: Cross multiply
    323,681.50x = 485,522.25 × 102,065.50
  4. Step 4: Simplify right side
    323,681.50x = 49,555,071,207.38
  5. Step 5: Solve for x
    x = 49,555,071,207.38/323,681.50
  6. Step 6: Final answer
    x = 153,098.25

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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.