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Finding the Fourth Proportional to 265,723.20, 399,045.60 and 187,387.20

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Solution

The fourth proportional to 265,723.20, 399,045.60 and 187,387.20 is: 281,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,723.20 : 399,045.60 = 187,387.20 : x
  2. Step 2: Convert to fraction form
    265,723.20/399,045.60 = 187,387.20/x
  3. Step 3: Cross multiply
    265,723.20x = 399,045.60 × 187,387.20
  4. Step 4: Simplify right side
    265,723.20x = 74,776,037,656.32
  5. Step 5: Solve for x
    x = 74,776,037,656.32/265,723.20
  6. Step 6: Final answer
    x = 281,405.75

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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.