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Finding the Fourth Proportional to 472,447.73, 651,990.95 and 288,716.04

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Solution

The fourth proportional to 472,447.73, 651,990.95 and 288,716.04 is: 398,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,447.73 : 651,990.95 = 288,716.04 : x
  2. Step 2: Convert to fraction form
    472,447.73/651,990.95 = 288,716.04/x
  3. Step 3: Cross multiply
    472,447.73x = 651,990.95 × 288,716.04
  4. Step 4: Simplify right side
    472,447.73x = 188,240,241,311.29
  5. Step 5: Solve for x
    x = 188,240,241,311.29/472,447.73
  6. Step 6: Final answer
    x = 398,436.12

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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.