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Finding the Fourth Proportional to 389,338.50, 537,287.25 and 210,490.50

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Solution

The fourth proportional to 389,338.50, 537,287.25 and 210,490.50 is: 290,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,338.50 : 537,287.25 = 210,490.50 : x
  2. Step 2: Convert to fraction form
    389,338.50/537,287.25 = 210,490.50/x
  3. Step 3: Cross multiply
    389,338.50x = 537,287.25 × 210,490.50
  4. Step 4: Simplify right side
    389,338.50x = 113,093,861,896.13
  5. Step 5: Solve for x
    x = 113,093,861,896.13/389,338.50
  6. Step 6: Final answer
    x = 290,476.95

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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.