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Finding the Fourth Proportional to 537,686.50, 741,920.52 and 308,201.53

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Solution

The fourth proportional to 537,686.50, 741,920.52 and 308,201.53 is: 425,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,686.50 : 741,920.52 = 308,201.53 : x
  2. Step 2: Convert to fraction form
    537,686.50/741,920.52 = 308,201.53/x
  3. Step 3: Cross multiply
    537,686.50x = 741,920.52 × 308,201.53
  4. Step 4: Simplify right side
    537,686.50x = 228,661,039,402.40
  5. Step 5: Solve for x
    x = 228,661,039,402.40/537,686.50
  6. Step 6: Final answer
    x = 425,268.33

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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.