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Finding the Fourth Proportional to 287,335.84, 396,430.32 and 159,986.56

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Solution

The fourth proportional to 287,335.84, 396,430.32 and 159,986.56 is: 220,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,335.84 : 396,430.32 = 159,986.56 : x
  2. Step 2: Convert to fraction form
    287,335.84/396,430.32 = 159,986.56/x
  3. Step 3: Cross multiply
    287,335.84x = 396,430.32 × 159,986.56
  4. Step 4: Simplify right side
    287,335.84x = 63,423,523,176.50
  5. Step 5: Solve for x
    x = 63,423,523,176.50/287,335.84
  6. Step 6: Final answer
    x = 220,729.59

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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.