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Finding the Fourth Proportional to 524,103.40, 784,211.10 and 384,135.40

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Solution

The fourth proportional to 524,103.40, 784,211.10 and 384,135.40 is: 574,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,103.40 : 784,211.10 = 384,135.40 : x
  2. Step 2: Convert to fraction form
    524,103.40/784,211.10 = 384,135.40/x
  3. Step 3: Cross multiply
    524,103.40x = 784,211.10 × 384,135.40
  4. Step 4: Simplify right side
    524,103.40x = 301,243,244,582.94
  5. Step 5: Solve for x
    x = 301,243,244,582.94/524,103.40
  6. Step 6: Final answer
    x = 574,778.27

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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.