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Finding the Fourth Proportional to 275,328.46, 412,456.02 and 155,017.66

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Solution

The fourth proportional to 275,328.46, 412,456.02 and 155,017.66 is: 232,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,328.46 : 412,456.02 = 155,017.66 : x
  2. Step 2: Convert to fraction form
    275,328.46/412,456.02 = 155,017.66/x
  3. Step 3: Cross multiply
    275,328.46x = 412,456.02 × 155,017.66
  4. Step 4: Simplify right side
    275,328.46x = 63,937,966,814.23
  5. Step 5: Solve for x
    x = 63,937,966,814.23/275,328.46
  6. Step 6: Final answer
    x = 232,224.33

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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.