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Finding the Fourth Proportional to 524,102.40, 784,209.60 and 384,134.40

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Solution

The fourth proportional to 524,102.40, 784,209.60 and 384,134.40 is: 574,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,102.40 : 784,209.60 = 384,134.40 : x
  2. Step 2: Convert to fraction form
    524,102.40/784,209.60 = 384,134.40/x
  3. Step 3: Cross multiply
    524,102.40x = 784,209.60 × 384,134.40
  4. Step 4: Simplify right side
    524,102.40x = 301,241,884,170.24
  5. Step 5: Solve for x
    x = 301,241,884,170.24/524,102.40
  6. Step 6: Final answer
    x = 574,776.77

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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.