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Finding the Fourth Proportional to 378,280.92, 522,031.16 and 208,521.12

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Solution

The fourth proportional to 378,280.92, 522,031.16 and 208,521.12 is: 287,761.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,280.92 : 522,031.16 = 208,521.12 : x
  2. Step 2: Convert to fraction form
    378,280.92/522,031.16 = 208,521.12/x
  3. Step 3: Cross multiply
    378,280.92x = 522,031.16 × 208,521.12
  4. Step 4: Simplify right side
    378,280.92x = 108,854,522,158.10
  5. Step 5: Solve for x
    x = 108,854,522,158.10/378,280.92
  6. Step 6: Final answer
    x = 287,761.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.