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Finding the Fourth Proportional to 523,151.03, 784,527.35 and 309,979.10

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Solution

The fourth proportional to 523,151.03, 784,527.35 and 309,979.10 is: 464,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,151.03 : 784,527.35 = 309,979.10 : x
  2. Step 2: Convert to fraction form
    523,151.03/784,527.35 = 309,979.10/x
  3. Step 3: Cross multiply
    523,151.03x = 784,527.35 × 309,979.10
  4. Step 4: Simplify right side
    523,151.03x = 243,187,076,405.85
  5. Step 5: Solve for x
    x = 243,187,076,405.85/523,151.03
  6. Step 6: Final answer
    x = 464,850.62

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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.