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Finding the Fourth Proportional to 287,697.76, 397,028.28 and 160,359.88

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Solution

The fourth proportional to 287,697.76, 397,028.28 and 160,359.88 is: 221,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,697.76 : 397,028.28 = 160,359.88 : x
  2. Step 2: Convert to fraction form
    287,697.76/397,028.28 = 160,359.88/x
  3. Step 3: Cross multiply
    287,697.76x = 397,028.28 × 160,359.88
  4. Step 4: Simplify right side
    287,697.76x = 63,667,407,337.41
  5. Step 5: Solve for x
    x = 63,667,407,337.41/287,697.76
  6. Step 6: Final answer
    x = 221,299.63

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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.