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Finding the Fourth Proportional to 331,640.63, 457,737.93 and 210,758.34

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Solution

The fourth proportional to 331,640.63, 457,737.93 and 210,758.34 is: 290,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,640.63 : 457,737.93 = 210,758.34 : x
  2. Step 2: Convert to fraction form
    331,640.63/457,737.93 = 210,758.34/x
  3. Step 3: Cross multiply
    331,640.63x = 457,737.93 × 210,758.34
  4. Step 4: Simplify right side
    331,640.63x = 96,472,086,281.84
  5. Step 5: Solve for x
    x = 96,472,086,281.84/331,640.63
  6. Step 6: Final answer
    x = 290,893.45

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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.