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Finding the Fourth Proportional to 351,872.69, 527,728.08 and 209,758.10

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Solution

The fourth proportional to 351,872.69, 527,728.08 and 209,758.10 is: 314,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,872.69 : 527,728.08 = 209,758.10 : x
  2. Step 2: Convert to fraction form
    351,872.69/527,728.08 = 209,758.10/x
  3. Step 3: Cross multiply
    351,872.69x = 527,728.08 × 209,758.10
  4. Step 4: Simplify right side
    351,872.69x = 110,695,236,738.81
  5. Step 5: Solve for x
    x = 110,695,236,738.81/351,872.69
  6. Step 6: Final answer
    x = 314,588.89

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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.