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Finding the Fourth Proportional to 287,978.76, 397,409.49 and 160,654.46

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Solution

The fourth proportional to 287,978.76, 397,409.49 and 160,654.46 is: 221,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,978.76 : 397,409.49 = 160,654.46 : x
  2. Step 2: Convert to fraction form
    287,978.76/397,409.49 = 160,654.46/x
  3. Step 3: Cross multiply
    287,978.76x = 397,409.49 × 160,654.46
  4. Step 4: Simplify right side
    287,978.76x = 63,845,605,027.78
  5. Step 5: Solve for x
    x = 63,845,605,027.78/287,978.76
  6. Step 6: Final answer
    x = 221,702.48

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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.