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Finding the Fourth Proportional to 253,445.76, 380,108.64 and 84,972.24

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Solution

The fourth proportional to 253,445.76, 380,108.64 and 84,972.24 is: 127,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,445.76 : 380,108.64 = 84,972.24 : x
  2. Step 2: Convert to fraction form
    253,445.76/380,108.64 = 84,972.24/x
  3. Step 3: Cross multiply
    253,445.76x = 380,108.64 × 84,972.24
  4. Step 4: Simplify right side
    253,445.76x = 32,298,682,584.15
  5. Step 5: Solve for x
    x = 32,298,682,584.15/253,445.76
  6. Step 6: Final answer
    x = 127,438.24

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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.