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Finding the Fourth Proportional to 523,147.25, 784,521.70 and 309,975.32

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Solution

The fourth proportional to 523,147.25, 784,521.70 and 309,975.32 is: 464,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,147.25 : 784,521.70 = 309,975.32 : x
  2. Step 2: Convert to fraction form
    523,147.25/784,521.70 = 309,975.32/x
  3. Step 3: Cross multiply
    523,147.25x = 784,521.70 × 309,975.32
  4. Step 4: Simplify right side
    523,147.25x = 243,182,363,454.57
  5. Step 5: Solve for x
    x = 243,182,363,454.57/523,147.25
  6. Step 6: Final answer
    x = 464,844.96

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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.