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Finding the Fourth Proportional to 284,562.24, 426,843.36 and 74,199.60

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Solution

The fourth proportional to 284,562.24, 426,843.36 and 74,199.60 is: 111,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,562.24 : 426,843.36 = 74,199.60 : x
  2. Step 2: Convert to fraction form
    284,562.24/426,843.36 = 74,199.60/x
  3. Step 3: Cross multiply
    284,562.24x = 426,843.36 × 74,199.60
  4. Step 4: Simplify right side
    284,562.24x = 31,671,606,574.66
  5. Step 5: Solve for x
    x = 31,671,606,574.66/284,562.24
  6. Step 6: Final answer
    x = 111,299.40

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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.