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Finding the Fourth Proportional to 282,467.22, 425,227.92 and 257,328.30

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Solution

The fourth proportional to 282,467.22, 425,227.92 and 257,328.30 is: 387,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,467.22 : 425,227.92 = 257,328.30 : x
  2. Step 2: Convert to fraction form
    282,467.22/425,227.92 = 257,328.30/x
  3. Step 3: Cross multiply
    282,467.22x = 425,227.92 × 257,328.30
  4. Step 4: Simplify right side
    282,467.22x = 109,423,177,766.14
  5. Step 5: Solve for x
    x = 109,423,177,766.14/282,467.22
  6. Step 6: Final answer
    x = 387,383.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.