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Finding the Fourth Proportional to 524,298.20, 784,892.10 and 347,005.40

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Solution

The fourth proportional to 524,298.20, 784,892.10 and 347,005.40 is: 519,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,298.20 : 784,892.10 = 347,005.40 : x
  2. Step 2: Convert to fraction form
    524,298.20/784,892.10 = 347,005.40/x
  3. Step 3: Cross multiply
    524,298.20x = 784,892.10 × 347,005.40
  4. Step 4: Simplify right side
    524,298.20x = 272,361,797,117.34
  5. Step 5: Solve for x
    x = 272,361,797,117.34/524,298.20
  6. Step 6: Final answer
    x = 519,478.79

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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.