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Finding the Fourth Proportional to 284,075.64, 426,183.68 and 84,395.72

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Solution

The fourth proportional to 284,075.64, 426,183.68 and 84,395.72 is: 126,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,075.64 : 426,183.68 = 84,395.72 : x
  2. Step 2: Convert to fraction form
    284,075.64/426,183.68 = 84,395.72/x
  3. Step 3: Cross multiply
    284,075.64x = 426,183.68 × 84,395.72
  4. Step 4: Simplify right side
    284,075.64x = 35,968,079,802.30
  5. Step 5: Solve for x
    x = 35,968,079,802.30/284,075.64
  6. Step 6: Final answer
    x = 126,614.45

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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.