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Finding the Fourth Proportional to 312,778.20, 469,512.90 and 172,810.20

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Solution

The fourth proportional to 312,778.20, 469,512.90 and 172,810.20 is: 259,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,778.20 : 469,512.90 = 172,810.20 : x
  2. Step 2: Convert to fraction form
    312,778.20/469,512.90 = 172,810.20/x
  3. Step 3: Cross multiply
    312,778.20x = 469,512.90 × 172,810.20
  4. Step 4: Simplify right side
    312,778.20x = 81,136,618,151.58
  5. Step 5: Solve for x
    x = 81,136,618,151.58/312,778.20
  6. Step 6: Final answer
    x = 259,406.24

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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.