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Finding the Fourth Proportional to 282,461.46, 425,219.26 and 257,322.54

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Solution

The fourth proportional to 282,461.46, 425,219.26 and 257,322.54 is: 387,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,461.46 : 425,219.26 = 257,322.54 : x
  2. Step 2: Convert to fraction form
    282,461.46/425,219.26 = 257,322.54/x
  3. Step 3: Cross multiply
    282,461.46x = 425,219.26 × 257,322.54
  4. Step 4: Simplify right side
    282,461.46x = 109,418,500,040.12
  5. Step 5: Solve for x
    x = 109,418,500,040.12/282,461.46
  6. Step 6: Final answer
    x = 387,374.97

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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.