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Finding the Fourth Proportional to 257,298.80, 385,890.60 and 169,170.80

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Solution

The fourth proportional to 257,298.80, 385,890.60 and 169,170.80 is: 253,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,298.80 : 385,890.60 = 169,170.80 : x
  2. Step 2: Convert to fraction form
    257,298.80/385,890.60 = 169,170.80/x
  3. Step 3: Cross multiply
    257,298.80x = 385,890.60 × 169,170.80
  4. Step 4: Simplify right side
    257,298.80x = 65,281,421,514.48
  5. Step 5: Solve for x
    x = 65,281,421,514.48/257,298.80
  6. Step 6: Final answer
    x = 253,718.33

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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.