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Finding the Fourth Proportional to 284,491.24, 426,440.40 and 115,938.40

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Solution

The fourth proportional to 284,491.24, 426,440.40 and 115,938.40 is: 173,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,491.24 : 426,440.40 = 115,938.40 : x
  2. Step 2: Convert to fraction form
    284,491.24/426,440.40 = 115,938.40/x
  3. Step 3: Cross multiply
    284,491.24x = 426,440.40 × 115,938.40
  4. Step 4: Simplify right side
    284,491.24x = 49,440,817,671.36
  5. Step 5: Solve for x
    x = 49,440,817,671.36/284,491.24
  6. Step 6: Final answer
    x = 173,786.78

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1.5x scale

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.