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Finding the Fourth Proportional to 523,150.27, 784,526.22 and 309,978.34

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Solution

The fourth proportional to 523,150.27, 784,526.22 and 309,978.34 is: 464,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,150.27 : 784,526.22 = 309,978.34 : x
  2. Step 2: Convert to fraction form
    523,150.27/784,526.22 = 309,978.34/x
  3. Step 3: Cross multiply
    523,150.27x = 784,526.22 × 309,978.34
  4. Step 4: Simplify right side
    523,150.27x = 243,186,133,400.76
  5. Step 5: Solve for x
    x = 243,186,133,400.76/523,150.27
  6. Step 6: Final answer
    x = 464,849.49

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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.