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Finding the Fourth Proportional to 523,148.25, 784,523.19 and 309,976.32

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Solution

The fourth proportional to 523,148.25, 784,523.19 and 309,976.32 is: 464,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,148.25 : 784,523.19 = 309,976.32 : x
  2. Step 2: Convert to fraction form
    523,148.25/784,523.19 = 309,976.32/x
  3. Step 3: Cross multiply
    523,148.25x = 784,523.19 × 309,976.32
  4. Step 4: Simplify right side
    523,148.25x = 243,183,611,390.86
  5. Step 5: Solve for x
    x = 243,183,611,390.86/523,148.25
  6. Step 6: Final answer
    x = 464,846.46

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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.