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Finding the Fourth Proportional to 523,149.80, 784,525.49 and 309,977.85

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Solution

The fourth proportional to 523,149.80, 784,525.49 and 309,977.85 is: 464,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,149.80 : 784,525.49 = 309,977.85 : x
  2. Step 2: Convert to fraction form
    523,149.80/784,525.49 = 309,977.85/x
  3. Step 3: Cross multiply
    523,149.80x = 784,525.49 × 309,977.85
  4. Step 4: Simplify right side
    523,149.80x = 243,185,523,110.51
  5. Step 5: Solve for x
    x = 243,185,523,110.51/523,149.80
  6. Step 6: Final answer
    x = 464,848.74

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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.