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Finding the Fourth Proportional to 257,291.87, 385,828.45 and 105,384.22

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Solution

The fourth proportional to 257,291.87, 385,828.45 and 105,384.22 is: 158,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,291.87 : 385,828.45 = 105,384.22 : x
  2. Step 2: Convert to fraction form
    257,291.87/385,828.45 = 105,384.22/x
  3. Step 3: Cross multiply
    257,291.87x = 385,828.45 × 105,384.22
  4. Step 4: Simplify right side
    257,291.87x = 40,660,229,029.03
  5. Step 5: Solve for x
    x = 40,660,229,029.03/257,291.87
  6. Step 6: Final answer
    x = 158,031.54

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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.