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Finding the Fourth Proportional to 287,889.60, 397,288.18 and 160,573.40

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Solution

The fourth proportional to 287,889.60, 397,288.18 and 160,573.40 is: 221,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,889.60 : 397,288.18 = 160,573.40 : x
  2. Step 2: Convert to fraction form
    287,889.60/397,288.18 = 160,573.40/x
  3. Step 3: Cross multiply
    287,889.60x = 397,288.18 × 160,573.40
  4. Step 4: Simplify right side
    287,889.60x = 63,793,911,053.10
  5. Step 5: Solve for x
    x = 63,793,911,053.10/287,889.60
  6. Step 6: Final answer
    x = 221,591.58

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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.