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Finding the Fourth Proportional to 523,150.80, 784,526.98 and 309,978.85

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Solution

The fourth proportional to 523,150.80, 784,526.98 and 309,978.85 is: 464,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,150.80 : 784,526.98 = 309,978.85 : x
  2. Step 2: Convert to fraction form
    523,150.80/784,526.98 = 309,978.85/x
  3. Step 3: Cross multiply
    523,150.80x = 784,526.98 × 309,978.85
  4. Step 4: Simplify right side
    523,150.80x = 243,186,771,054.37
  5. Step 5: Solve for x
    x = 243,186,771,054.37/523,150.80
  6. Step 6: Final answer
    x = 464,850.23

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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.