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Finding the Fourth Proportional to 431,103.05, 646,252.48 and 146,599.18

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Solution

The fourth proportional to 431,103.05, 646,252.48 and 146,599.18 is: 219,762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,103.05 : 646,252.48 = 146,599.18 : x
  2. Step 2: Convert to fraction form
    431,103.05/646,252.48 = 146,599.18/x
  3. Step 3: Cross multiply
    431,103.05x = 646,252.48 × 146,599.18
  4. Step 4: Simplify right side
    431,103.05x = 94,740,083,640.97
  5. Step 5: Solve for x
    x = 94,740,083,640.97/431,103.05
  6. Step 6: Final answer
    x = 219,762.04

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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.