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Finding the Fourth Proportional to 369,521.60, 509,937.73 and 208,377.97

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Solution

The fourth proportional to 369,521.60, 509,937.73 and 208,377.97 is: 287,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,521.60 : 509,937.73 = 208,377.97 : x
  2. Step 2: Convert to fraction form
    369,521.60/509,937.73 = 208,377.97/x
  3. Step 3: Cross multiply
    369,521.60x = 509,937.73 × 208,377.97
  4. Step 4: Simplify right side
    369,521.60x = 106,259,787,208.02
  5. Step 5: Solve for x
    x = 106,259,787,208.02/369,521.60
  6. Step 6: Final answer
    x = 287,560.43

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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.