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Finding the Fourth Proportional to 257,276.70, 385,952.40 and 79,798

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Solution

The fourth proportional to 257,276.70, 385,952.40 and 79,798 is: 119,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,276.70 : 385,952.40 = 79,798 : x
  2. Step 2: Convert to fraction form
    257,276.70/385,952.40 = 79,798/x
  3. Step 3: Cross multiply
    257,276.70x = 385,952.40 × 79,798
  4. Step 4: Simplify right side
    257,276.70x = 30,798,229,615.20
  5. Step 5: Solve for x
    x = 30,798,229,615.20/257,276.70
  6. Step 6: Final answer
    x = 119,708.58

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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.