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Finding the Fourth Proportional to 408,209.60, 612,411.60 and 171,430.40

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Solution

The fourth proportional to 408,209.60, 612,411.60 and 171,430.40 is: 257,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,209.60 : 612,411.60 = 171,430.40 : x
  2. Step 2: Convert to fraction form
    408,209.60/612,411.60 = 171,430.40/x
  3. Step 3: Cross multiply
    408,209.60x = 612,411.60 × 171,430.40
  4. Step 4: Simplify right side
    408,209.60x = 104,985,965,552.64
  5. Step 5: Solve for x
    x = 104,985,965,552.64/408,209.60
  6. Step 6: Final answer
    x = 257,186.42

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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.