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Finding the Fourth Proportional to 409,099, 564,556.02 and 227,826.80

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Solution

The fourth proportional to 409,099, 564,556.02 and 227,826.80 is: 314,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,099 : 564,556.02 = 227,826.80 : x
  2. Step 2: Convert to fraction form
    409,099/564,556.02 = 227,826.80/x
  3. Step 3: Cross multiply
    409,099x = 564,556.02 × 227,826.80
  4. Step 4: Simplify right side
    409,099x = 128,620,991,457.34
  5. Step 5: Solve for x
    x = 128,620,991,457.34/409,099
  6. Step 6: Final answer
    x = 314,400.65

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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.