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Finding the Fourth Proportional to 520,924.30, 780,375.40 and 383,898.54

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Solution

The fourth proportional to 520,924.30, 780,375.40 and 383,898.54 is: 575,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,924.30 : 780,375.40 = 383,898.54 : x
  2. Step 2: Convert to fraction form
    520,924.30/780,375.40 = 383,898.54/x
  3. Step 3: Cross multiply
    520,924.30x = 780,375.40 × 383,898.54
  4. Step 4: Simplify right side
    520,924.30x = 299,584,974,792.42
  5. Step 5: Solve for x
    x = 299,584,974,792.42/520,924.30
  6. Step 6: Final answer
    x = 575,102.71

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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.