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Finding the Fourth Proportional to 657,085.77, 906,773.08 and 381,469.19

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Solution

The fourth proportional to 657,085.77, 906,773.08 and 381,469.19 is: 526,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,085.77 : 906,773.08 = 381,469.19 : x
  2. Step 2: Convert to fraction form
    657,085.77/906,773.08 = 381,469.19/x
  3. Step 3: Cross multiply
    657,085.77x = 906,773.08 × 381,469.19
  4. Step 4: Simplify right side
    657,085.77x = 345,905,992,341.41
  5. Step 5: Solve for x
    x = 345,905,992,341.41/657,085.77
  6. Step 6: Final answer
    x = 526,424.42

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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.