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Finding the Fourth Proportional to 287,774.82, 397,129.68 and 160,458.48

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Solution

The fourth proportional to 287,774.82, 397,129.68 and 160,458.48 is: 221,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,774.82 : 397,129.68 = 160,458.48 : x
  2. Step 2: Convert to fraction form
    287,774.82/397,129.68 = 160,458.48/x
  3. Step 3: Cross multiply
    287,774.82x = 397,129.68 × 160,458.48
  4. Step 4: Simplify right side
    287,774.82x = 63,722,824,815.69
  5. Step 5: Solve for x
    x = 63,722,824,815.69/287,774.82
  6. Step 6: Final answer
    x = 221,432.94

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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.