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Finding the Fourth Proportional to 460,886.34, 691,329.51 and 145,367.85

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Solution

The fourth proportional to 460,886.34, 691,329.51 and 145,367.85 is: 218,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,886.34 : 691,329.51 = 145,367.85 : x
  2. Step 2: Convert to fraction form
    460,886.34/691,329.51 = 145,367.85/x
  3. Step 3: Cross multiply
    460,886.34x = 691,329.51 × 145,367.85
  4. Step 4: Simplify right side
    460,886.34x = 100,497,084,510.25
  5. Step 5: Solve for x
    x = 100,497,084,510.25/460,886.34
  6. Step 6: Final answer
    x = 218,051.78

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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.