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Finding the Fourth Proportional to 438,205.27, 657,307.91 and 105,781.27

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Solution

The fourth proportional to 438,205.27, 657,307.91 and 105,781.27 is: 158,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,205.27 : 657,307.91 = 105,781.27 : x
  2. Step 2: Convert to fraction form
    438,205.27/657,307.91 = 105,781.27/x
  3. Step 3: Cross multiply
    438,205.27x = 657,307.91 × 105,781.27
  4. Step 4: Simplify right side
    438,205.27x = 69,530,865,500.85
  5. Step 5: Solve for x
    x = 69,530,865,500.85/438,205.27
  6. Step 6: Final answer
    x = 158,671.91

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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.