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Finding the Fourth Proportional to 523,210, 784,822.40 and 149,233

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Solution

The fourth proportional to 523,210, 784,822.40 and 149,233 is: 223,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,210 : 784,822.40 = 149,233 : x
  2. Step 2: Convert to fraction form
    523,210/784,822.40 = 149,233/x
  3. Step 3: Cross multiply
    523,210x = 784,822.40 × 149,233
  4. Step 4: Simplify right side
    523,210x = 117,121,401,219.20
  5. Step 5: Solve for x
    x = 117,121,401,219.20/523,210
  6. Step 6: Final answer
    x = 223,851.61

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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.