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Finding the Fourth Proportional to 284,317.20, 427,109.40 and 237,661.20

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Solution

The fourth proportional to 284,317.20, 427,109.40 and 237,661.20 is: 357,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,317.20 : 427,109.40 = 237,661.20 : x
  2. Step 2: Convert to fraction form
    284,317.20/427,109.40 = 237,661.20/x
  3. Step 3: Cross multiply
    284,317.20x = 427,109.40 × 237,661.20
  4. Step 4: Simplify right side
    284,317.20x = 101,507,332,535.28
  5. Step 5: Solve for x
    x = 101,507,332,535.28/284,317.20
  6. Step 6: Final answer
    x = 357,021.43

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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.