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Finding the Fourth Proportional to 657,450.94, 907,213.17 and 381,754.91

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Solution

The fourth proportional to 657,450.94, 907,213.17 and 381,754.91 is: 526,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,450.94 : 907,213.17 = 381,754.91 : x
  2. Step 2: Convert to fraction form
    657,450.94/907,213.17 = 381,754.91/x
  3. Step 3: Cross multiply
    657,450.94x = 907,213.17 × 381,754.91
  4. Step 4: Simplify right side
    657,450.94x = 346,333,079,587.02
  5. Step 5: Solve for x
    x = 346,333,079,587.02/657,450.94
  6. Step 6: Final answer
    x = 526,781.64

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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.