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Finding the Fourth Proportional to 379,499.84, 523,370.75 and 314,866.74

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Solution

The fourth proportional to 379,499.84, 523,370.75 and 314,866.74 is: 434,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,499.84 : 523,370.75 = 314,866.74 : x
  2. Step 2: Convert to fraction form
    379,499.84/523,370.75 = 314,866.74/x
  3. Step 3: Cross multiply
    379,499.84x = 523,370.75 × 314,866.74
  4. Step 4: Simplify right side
    379,499.84x = 164,792,041,863.86
  5. Step 5: Solve for x
    x = 164,792,041,863.86/379,499.84
  6. Step 6: Final answer
    x = 434,234.81

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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.