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Finding the Fourth Proportional to 314,552.40, 472,289.40 and 221,470.80

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Solution

The fourth proportional to 314,552.40, 472,289.40 and 221,470.80 is: 332,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,552.40 : 472,289.40 = 221,470.80 : x
  2. Step 2: Convert to fraction form
    314,552.40/472,289.40 = 221,470.80/x
  3. Step 3: Cross multiply
    314,552.40x = 472,289.40 × 221,470.80
  4. Step 4: Simplify right side
    314,552.40x = 104,598,311,249.52
  5. Step 5: Solve for x
    x = 104,598,311,249.52/314,552.40
  6. Step 6: Final answer
    x = 332,530.64

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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.