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Finding the Fourth Proportional to 458,103, 632,240.52 and 256,899

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Solution

The fourth proportional to 458,103, 632,240.52 and 256,899 is: 354,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,103 : 632,240.52 = 256,899 : x
  2. Step 2: Convert to fraction form
    458,103/632,240.52 = 256,899/x
  3. Step 3: Cross multiply
    458,103x = 632,240.52 × 256,899
  4. Step 4: Simplify right side
    458,103x = 162,421,957,347.48
  5. Step 5: Solve for x
    x = 162,421,957,347.48/458,103
  6. Step 6: Final answer
    x = 354,553.36

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1.5x scale

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.