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Finding the Fourth Proportional to 287,647.76, 396,963.24 and 160,350.32

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Solution

The fourth proportional to 287,647.76, 396,963.24 and 160,350.32 is: 221,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,647.76 : 396,963.24 = 160,350.32 : x
  2. Step 2: Convert to fraction form
    287,647.76/396,963.24 = 160,350.32/x
  3. Step 3: Cross multiply
    287,647.76x = 396,963.24 × 160,350.32
  4. Step 4: Simplify right side
    287,647.76x = 63,653,182,562.24
  5. Step 5: Solve for x
    x = 63,653,182,562.24/287,647.76
  6. Step 6: Final answer
    x = 221,288.64

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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.