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Finding the Fourth Proportional to 287,663.40, 396,956.70 and 160,331.40

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Solution

The fourth proportional to 287,663.40, 396,956.70 and 160,331.40 is: 221,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,663.40 : 396,956.70 = 160,331.40 : x
  2. Step 2: Convert to fraction form
    287,663.40/396,956.70 = 160,331.40/x
  3. Step 3: Cross multiply
    287,663.40x = 396,956.70 × 160,331.40
  4. Step 4: Simplify right side
    287,663.40x = 63,644,623,450.38
  5. Step 5: Solve for x
    x = 63,644,623,450.38/287,663.40
  6. Step 6: Final answer
    x = 221,246.86

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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.