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Finding the Fourth Proportional to 284,075.64, 426,116.76 and 84,391.20

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Solution

The fourth proportional to 284,075.64, 426,116.76 and 84,391.20 is: 126,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,075.64 : 426,116.76 = 84,391.20 : x
  2. Step 2: Convert to fraction form
    284,075.64/426,116.76 = 84,391.20/x
  3. Step 3: Cross multiply
    284,075.64x = 426,116.76 × 84,391.20
  4. Step 4: Simplify right side
    284,075.64x = 35,960,504,716.51
  5. Step 5: Solve for x
    x = 35,960,504,716.51/284,075.64
  6. Step 6: Final answer
    x = 126,587.78

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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.