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Finding the Fourth Proportional to 354,472.64, 489,048.72 and 227,218.40

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Solution

The fourth proportional to 354,472.64, 489,048.72 and 227,218.40 is: 313,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,472.64 : 489,048.72 = 227,218.40 : x
  2. Step 2: Convert to fraction form
    354,472.64/489,048.72 = 227,218.40/x
  3. Step 3: Cross multiply
    354,472.64x = 489,048.72 × 227,218.40
  4. Step 4: Simplify right side
    354,472.64x = 111,120,867,680.45
  5. Step 5: Solve for x
    x = 111,120,867,680.45/354,472.64
  6. Step 6: Final answer
    x = 313,482.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.