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Finding the Fourth Proportional to 264,209.86, 396,358.80 and 86,669.20

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Solution

The fourth proportional to 264,209.86, 396,358.80 and 86,669.20 is: 130,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,209.86 : 396,358.80 = 86,669.20 : x
  2. Step 2: Convert to fraction form
    264,209.86/396,358.80 = 86,669.20/x
  3. Step 3: Cross multiply
    264,209.86x = 396,358.80 × 86,669.20
  4. Step 4: Simplify right side
    264,209.86x = 34,352,100,108.96
  5. Step 5: Solve for x
    x = 34,352,100,108.96/264,209.86
  6. Step 6: Final answer
    x = 130,018.24

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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.