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Finding the Fourth Proportional to 287,655.20, 396,962.88 and 166,866.56

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Solution

The fourth proportional to 287,655.20, 396,962.88 and 166,866.56 is: 230,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,655.20 : 396,962.88 = 166,866.56 : x
  2. Step 2: Convert to fraction form
    287,655.20/396,962.88 = 166,866.56/x
  3. Step 3: Cross multiply
    287,655.20x = 396,962.88 × 166,866.56
  4. Step 4: Simplify right side
    287,655.20x = 66,239,830,233.29
  5. Step 5: Solve for x
    x = 66,239,830,233.29/287,655.20
  6. Step 6: Final answer
    x = 230,275.10

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1.5x scale

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.