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Finding the Fourth Proportional to 312,044.80, 468,329.78 and 292,361.80

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Solution

The fourth proportional to 312,044.80, 468,329.78 and 292,361.80 is: 438,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,044.80 : 468,329.78 = 292,361.80 : x
  2. Step 2: Convert to fraction form
    312,044.80/468,329.78 = 292,361.80/x
  3. Step 3: Cross multiply
    312,044.80x = 468,329.78 × 292,361.80
  4. Step 4: Simplify right side
    312,044.80x = 136,921,737,474.40
  5. Step 5: Solve for x
    x = 136,921,737,474.40/312,044.80
  6. Step 6: Final answer
    x = 438,788.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.