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Finding the Fourth Proportional to 287,695.20, 431,542.80 and 100,725.60

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Solution

The fourth proportional to 287,695.20, 431,542.80 and 100,725.60 is: 151,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,695.20 : 431,542.80 = 100,725.60 : x
  2. Step 2: Convert to fraction form
    287,695.20/431,542.80 = 100,725.60/x
  3. Step 3: Cross multiply
    287,695.20x = 431,542.80 × 100,725.60
  4. Step 4: Simplify right side
    287,695.20x = 43,467,407,455.68
  5. Step 5: Solve for x
    x = 43,467,407,455.68/287,695.20
  6. Step 6: Final answer
    x = 151,088.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.