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Finding the Fourth Proportional to 408,032.60, 612,048.90 and 171,642.20

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Solution

The fourth proportional to 408,032.60, 612,048.90 and 171,642.20 is: 257,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,032.60 : 612,048.90 = 171,642.20 : x
  2. Step 2: Convert to fraction form
    408,032.60/612,048.90 = 171,642.20/x
  3. Step 3: Cross multiply
    408,032.60x = 612,048.90 × 171,642.20
  4. Step 4: Simplify right side
    408,032.60x = 105,053,419,703.58
  5. Step 5: Solve for x
    x = 105,053,419,703.58/408,032.60
  6. Step 6: Final answer
    x = 257,463.30

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1.5x scale

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.