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Finding the Fourth Proportional to 355,456.31, 533,131.91 and 130,764.20

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Solution

The fourth proportional to 355,456.31, 533,131.91 and 130,764.20 is: 196,126.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,456.31 : 533,131.91 = 130,764.20 : x
  2. Step 2: Convert to fraction form
    355,456.31/533,131.91 = 130,764.20/x
  3. Step 3: Cross multiply
    355,456.31x = 533,131.91 × 130,764.20
  4. Step 4: Simplify right side
    355,456.31x = 69,714,564,386.14
  5. Step 5: Solve for x
    x = 69,714,564,386.14/355,456.31
  6. Step 6: Final answer
    x = 196,126.96

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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.