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Finding the Fourth Proportional to 331,689.60, 497,739.60 and 174,031.20

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Solution

The fourth proportional to 331,689.60, 497,739.60 and 174,031.20 is: 261,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,689.60 : 497,739.60 = 174,031.20 : x
  2. Step 2: Convert to fraction form
    331,689.60/497,739.60 = 174,031.20/x
  3. Step 3: Cross multiply
    331,689.60x = 497,739.60 × 174,031.20
  4. Step 4: Simplify right side
    331,689.60x = 86,622,219,875.52
  5. Step 5: Solve for x
    x = 86,622,219,875.52/331,689.60
  6. Step 6: Final answer
    x = 261,154.46

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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.