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Finding the Fourth Proportional to 284,076.66, 426,089.07 and 261,802.74

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Solution

The fourth proportional to 284,076.66, 426,089.07 and 261,802.74 is: 392,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,076.66 : 426,089.07 = 261,802.74 : x
  2. Step 2: Convert to fraction form
    284,076.66/426,089.07 = 261,802.74/x
  3. Step 3: Cross multiply
    284,076.66x = 426,089.07 × 261,802.74
  4. Step 4: Simplify right side
    284,076.66x = 111,551,286,010.05
  5. Step 5: Solve for x
    x = 111,551,286,010.05/284,076.66
  6. Step 6: Final answer
    x = 392,680.22

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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.