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Finding the Fourth Proportional to 648,144, 972,167.04 and 227,448

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Solution

The fourth proportional to 648,144, 972,167.04 and 227,448 is: 341,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,144 : 972,167.04 = 227,448 : x
  2. Step 2: Convert to fraction form
    648,144/972,167.04 = 227,448/x
  3. Step 3: Cross multiply
    648,144x = 972,167.04 × 227,448
  4. Step 4: Simplify right side
    648,144x = 221,117,448,913.92
  5. Step 5: Solve for x
    x = 221,117,448,913.92/648,144
  6. Step 6: Final answer
    x = 341,154.82

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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.