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Finding the Fourth Proportional to 378,000.83, 521,640.90 and 208,234.95

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Solution

The fourth proportional to 378,000.83, 521,640.90 and 208,234.95 is: 287,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,000.83 : 521,640.90 = 208,234.95 : x
  2. Step 2: Convert to fraction form
    378,000.83/521,640.90 = 208,234.95/x
  3. Step 3: Cross multiply
    378,000.83x = 521,640.90 × 208,234.95
  4. Step 4: Simplify right side
    378,000.83x = 108,623,866,729.46
  5. Step 5: Solve for x
    x = 108,623,866,729.46/378,000.83
  6. Step 6: Final answer
    x = 287,364.10

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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.