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Finding the Fourth Proportional to 409,186.90, 564,676.32 and 227,900.98

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Solution

The fourth proportional to 409,186.90, 564,676.32 and 227,900.98 is: 314,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,186.90 : 564,676.32 = 227,900.98 : x
  2. Step 2: Convert to fraction form
    409,186.90/564,676.32 = 227,900.98/x
  3. Step 3: Cross multiply
    409,186.90x = 564,676.32 × 227,900.98
  4. Step 4: Simplify right side
    409,186.90x = 128,690,286,710.79
  5. Step 5: Solve for x
    x = 128,690,286,710.79/409,186.90
  6. Step 6: Final answer
    x = 314,502.46

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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.