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Finding the Fourth Proportional to 611,408.12, 916,762.25 and 256,122.68

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Solution

The fourth proportional to 611,408.12, 916,762.25 and 256,122.68 is: 384,037.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,408.12 : 916,762.25 = 256,122.68 : x
  2. Step 2: Convert to fraction form
    611,408.12/916,762.25 = 256,122.68/x
  3. Step 3: Cross multiply
    611,408.12x = 916,762.25 × 256,122.68
  4. Step 4: Simplify right side
    611,408.12x = 234,803,600,449.33
  5. Step 5: Solve for x
    x = 234,803,600,449.33/611,408.12
  6. Step 6: Final answer
    x = 384,037.43

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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.