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Finding the Fourth Proportional to 357,279.81, 535,223.10 and 199,031.73

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Solution

The fourth proportional to 357,279.81, 535,223.10 and 199,031.73 is: 298,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,279.81 : 535,223.10 = 199,031.73 : x
  2. Step 2: Convert to fraction form
    357,279.81/535,223.10 = 199,031.73/x
  3. Step 3: Cross multiply
    357,279.81x = 535,223.10 × 199,031.73
  4. Step 4: Simplify right side
    357,279.81x = 106,526,379,528.96
  5. Step 5: Solve for x
    x = 106,526,379,528.96/357,279.81
  6. Step 6: Final answer
    x = 298,159.53

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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.