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Finding the Fourth Proportional to 287,427.60, 431,206.20 and 87,757.20

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Solution

The fourth proportional to 287,427.60, 431,206.20 and 87,757.20 is: 131,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,427.60 : 431,206.20 = 87,757.20 : x
  2. Step 2: Convert to fraction form
    287,427.60/431,206.20 = 87,757.20/x
  3. Step 3: Cross multiply
    287,427.60x = 431,206.20 × 87,757.20
  4. Step 4: Simplify right side
    287,427.60x = 37,841,448,734.64
  5. Step 5: Solve for x
    x = 37,841,448,734.64/287,427.60
  6. Step 6: Final answer
    x = 131,655.58

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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.