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Finding the Fourth Proportional to 287,280, 396,438.40 and 159,955.52

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Solution

The fourth proportional to 287,280, 396,438.40 and 159,955.52 is: 220,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,280 : 396,438.40 = 159,955.52 : x
  2. Step 2: Convert to fraction form
    287,280/396,438.40 = 159,955.52/x
  3. Step 3: Cross multiply
    287,280x = 396,438.40 × 159,955.52
  4. Step 4: Simplify right side
    287,280x = 63,412,510,419.97
  5. Step 5: Solve for x
    x = 63,412,510,419.97/287,280
  6. Step 6: Final answer
    x = 220,734.16

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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.