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Finding the Fourth Proportional to 354,473.64, 489,050.10 and 227,219.40

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Solution

The fourth proportional to 354,473.64, 489,050.10 and 227,219.40 is: 313,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,473.64 : 489,050.10 = 227,219.40 : x
  2. Step 2: Convert to fraction form
    354,473.64/489,050.10 = 227,219.40/x
  3. Step 3: Cross multiply
    354,473.64x = 489,050.10 × 227,219.40
  4. Step 4: Simplify right side
    354,473.64x = 111,121,670,291.94
  5. Step 5: Solve for x
    x = 111,121,670,291.94/354,473.64
  6. Step 6: Final answer
    x = 313,483.59

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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.