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Finding the Fourth Proportional to 354,484.27, 489,267.71 and 225,397.81

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Solution

The fourth proportional to 354,484.27, 489,267.71 and 225,397.81 is: 311,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,484.27 : 489,267.71 = 225,397.81 : x
  2. Step 2: Convert to fraction form
    354,484.27/489,267.71 = 225,397.81/x
  3. Step 3: Cross multiply
    354,484.27x = 489,267.71 × 225,397.81
  4. Step 4: Simplify right side
    354,484.27x = 110,279,870,337.72
  5. Step 5: Solve for x
    x = 110,279,870,337.72/354,484.27
  6. Step 6: Final answer
    x = 311,099.48

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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.