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Finding the Fourth Proportional to 914,475, 1,261,958.97 and 506,575.58

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Solution

The fourth proportional to 914,475, 1,261,958.97 and 506,575.58 is: 699,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,475 : 1,261,958.97 = 506,575.58 : x
  2. Step 2: Convert to fraction form
    914,475/1,261,958.97 = 506,575.58/x
  3. Step 3: Cross multiply
    914,475x = 1,261,958.97 × 506,575.58
  4. Step 4: Simplify right side
    914,475x = 639,277,597,163.95
  5. Step 5: Solve for x
    x = 639,277,597,163.95/914,475
  6. Step 6: Final answer
    x = 699,065.14

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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.