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Finding the Fourth Proportional to 369,472.78, 509,878.11 and 216,474.36

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Solution

The fourth proportional to 369,472.78, 509,878.11 and 216,474.36 is: 298,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,472.78 : 509,878.11 = 216,474.36 : x
  2. Step 2: Convert to fraction form
    369,472.78/509,878.11 = 216,474.36/x
  3. Step 3: Cross multiply
    369,472.78x = 509,878.11 × 216,474.36
  4. Step 4: Simplify right side
    369,472.78x = 110,375,537,540.26
  5. Step 5: Solve for x
    x = 110,375,537,540.26/369,472.78
  6. Step 6: Final answer
    x = 298,737.94

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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.