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Finding the Fourth Proportional to 409,312.50, 564,889.46 and 239,546.76

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Solution

The fourth proportional to 409,312.50, 564,889.46 and 239,546.76 is: 330,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,312.50 : 564,889.46 = 239,546.76 : x
  2. Step 2: Convert to fraction form
    409,312.50/564,889.46 = 239,546.76/x
  3. Step 3: Cross multiply
    409,312.50x = 564,889.46 × 239,546.76
  4. Step 4: Simplify right side
    409,312.50x = 135,317,438,703.42
  5. Step 5: Solve for x
    x = 135,317,438,703.42/409,312.50
  6. Step 6: Final answer
    x = 330,596.89

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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.