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Finding the Fourth Proportional to 256,559.10, 384,675.65 and 225,032.48

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Solution

The fourth proportional to 256,559.10, 384,675.65 and 225,032.48 is: 337,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,559.10 : 384,675.65 = 225,032.48 : x
  2. Step 2: Convert to fraction form
    256,559.10/384,675.65 = 225,032.48/x
  3. Step 3: Cross multiply
    256,559.10x = 384,675.65 × 225,032.48
  4. Step 4: Simplify right side
    256,559.10x = 86,564,512,466.57
  5. Step 5: Solve for x
    x = 86,564,512,466.57/256,559.10
  6. Step 6: Final answer
    x = 337,405.74

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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.