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Finding the Fourth Proportional to 258,260.32, 387,412.76 and 71,271.82

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Solution

The fourth proportional to 258,260.32, 387,412.76 and 71,271.82 is: 106,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,260.32 : 387,412.76 = 71,271.82 : x
  2. Step 2: Convert to fraction form
    258,260.32/387,412.76 = 71,271.82/x
  3. Step 3: Cross multiply
    258,260.32x = 387,412.76 × 71,271.82
  4. Step 4: Simplify right side
    258,260.32x = 27,611,612,496.42
  5. Step 5: Solve for x
    x = 27,611,612,496.42/258,260.32
  6. Step 6: Final answer
    x = 106,913.88

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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.