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Finding the Fourth Proportional to 409,923.70, 614,885.55 and 251,638.90

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Solution

The fourth proportional to 409,923.70, 614,885.55 and 251,638.90 is: 377,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,923.70 : 614,885.55 = 251,638.90 : x
  2. Step 2: Convert to fraction form
    409,923.70/614,885.55 = 251,638.90/x
  3. Step 3: Cross multiply
    409,923.70x = 614,885.55 × 251,638.90
  4. Step 4: Simplify right side
    409,923.70x = 154,729,123,427.90
  5. Step 5: Solve for x
    x = 154,729,123,427.90/409,923.70
  6. Step 6: Final answer
    x = 377,458.35

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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.