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Finding the Fourth Proportional to 467,380, 644,984.40 and 252,520.12

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Solution

The fourth proportional to 467,380, 644,984.40 and 252,520.12 is: 348,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,380 : 644,984.40 = 252,520.12 : x
  2. Step 2: Convert to fraction form
    467,380/644,984.40 = 252,520.12/x
  3. Step 3: Cross multiply
    467,380x = 644,984.40 × 252,520.12
  4. Step 4: Simplify right side
    467,380x = 162,871,538,086.13
  5. Step 5: Solve for x
    x = 162,871,538,086.13/467,380
  6. Step 6: Final answer
    x = 348,477.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.