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Finding the Fourth Proportional to 310,631.73, 465,264.61 and 256,712.61

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Solution

The fourth proportional to 310,631.73, 465,264.61 and 256,712.61 is: 384,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,631.73 : 465,264.61 = 256,712.61 : x
  2. Step 2: Convert to fraction form
    310,631.73/465,264.61 = 256,712.61/x
  3. Step 3: Cross multiply
    310,631.73x = 465,264.61 × 256,712.61
  4. Step 4: Simplify right side
    310,631.73x = 119,439,292,373.73
  5. Step 5: Solve for x
    x = 119,439,292,373.73/310,631.73
  6. Step 6: Final answer
    x = 384,504.48

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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.