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Finding the Fourth Proportional to 338,749.98, 508,321.80 and 151,761.48

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Solution

The fourth proportional to 338,749.98, 508,321.80 and 151,761.48 is: 227,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,749.98 : 508,321.80 = 151,761.48 : x
  2. Step 2: Convert to fraction form
    338,749.98/508,321.80 = 151,761.48/x
  3. Step 3: Cross multiply
    338,749.98x = 508,321.80 × 151,761.48
  4. Step 4: Simplify right side
    338,749.98x = 77,143,668,684.26
  5. Step 5: Solve for x
    x = 77,143,668,684.26/338,749.98
  6. Step 6: Final answer
    x = 227,730.40

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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.