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Finding the Fourth Proportional to 256,421.22, 384,648.24 and 98,649.69

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Solution

The fourth proportional to 256,421.22, 384,648.24 and 98,649.69 is: 147,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,421.22 : 384,648.24 = 98,649.69 : x
  2. Step 2: Convert to fraction form
    256,421.22/384,648.24 = 98,649.69/x
  3. Step 3: Cross multiply
    256,421.22x = 384,648.24 × 98,649.69
  4. Step 4: Simplify right side
    256,421.22x = 37,945,429,635.05
  5. Step 5: Solve for x
    x = 37,945,429,635.05/256,421.22
  6. Step 6: Final answer
    x = 147,980.85

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1.5x scale

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.