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Finding the Fourth Proportional to 282,460.46, 425,217.75 and 257,321.54

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Solution

The fourth proportional to 282,460.46, 425,217.75 and 257,321.54 is: 387,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,460.46 : 425,217.75 = 257,321.54 : x
  2. Step 2: Convert to fraction form
    282,460.46/425,217.75 = 257,321.54/x
  3. Step 3: Cross multiply
    282,460.46x = 425,217.75 × 257,321.54
  4. Step 4: Simplify right side
    282,460.46x = 109,417,684,139.25
  5. Step 5: Solve for x
    x = 109,417,684,139.25/282,460.46
  6. Step 6: Final answer
    x = 387,373.46

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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.