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Finding the Fourth Proportional to 256,032.40, 384,221.40 and 143,712.40

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Solution

The fourth proportional to 256,032.40, 384,221.40 and 143,712.40 is: 215,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,032.40 : 384,221.40 = 143,712.40 : x
  2. Step 2: Convert to fraction form
    256,032.40/384,221.40 = 143,712.40/x
  3. Step 3: Cross multiply
    256,032.40x = 384,221.40 × 143,712.40
  4. Step 4: Simplify right side
    256,032.40x = 55,217,379,525.36
  5. Step 5: Solve for x
    x = 55,217,379,525.36/256,032.40
  6. Step 6: Final answer
    x = 215,665.59

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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.