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Finding the Fourth Proportional to 657,044.48, 906,722.70 and 355,238.48

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Solution

The fourth proportional to 657,044.48, 906,722.70 and 355,238.48 is: 490,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,044.48 : 906,722.70 = 355,238.48 : x
  2. Step 2: Convert to fraction form
    657,044.48/906,722.70 = 355,238.48/x
  3. Step 3: Cross multiply
    657,044.48x = 906,722.70 × 355,238.48
  4. Step 4: Simplify right side
    657,044.48x = 322,102,793,729.50
  5. Step 5: Solve for x
    x = 322,102,793,729.50/657,044.48
  6. Step 6: Final answer
    x = 490,229.81

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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.