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Finding the Fourth Proportional to 378,283.13, 522,030.72 and 208,520.90

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Solution

The fourth proportional to 378,283.13, 522,030.72 and 208,520.90 is: 287,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,283.13 : 522,030.72 = 208,520.90 : x
  2. Step 2: Convert to fraction form
    378,283.13/522,030.72 = 208,520.90/x
  3. Step 3: Cross multiply
    378,283.13x = 522,030.72 × 208,520.90
  4. Step 4: Simplify right side
    378,283.13x = 108,854,312,951.89
  5. Step 5: Solve for x
    x = 108,854,312,951.89/378,283.13
  6. Step 6: Final answer
    x = 287,758.84

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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.