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Finding the Fourth Proportional to 282,464.22, 425,223.39 and 257,325.30

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Solution

The fourth proportional to 282,464.22, 425,223.39 and 257,325.30 is: 387,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,464.22 : 425,223.39 = 257,325.30 : x
  2. Step 2: Convert to fraction form
    282,464.22/425,223.39 = 257,325.30/x
  3. Step 3: Cross multiply
    282,464.22x = 425,223.39 × 257,325.30
  4. Step 4: Simplify right side
    282,464.22x = 109,420,736,398.77
  5. Step 5: Solve for x
    x = 109,420,736,398.77/282,464.22
  6. Step 6: Final answer
    x = 387,379.10

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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.