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Finding the Fourth Proportional to 284,390.96, 425,331.61 and 253,021.16

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Solution

The fourth proportional to 284,390.96, 425,331.61 and 253,021.16 is: 378,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,390.96 : 425,331.61 = 253,021.16 : x
  2. Step 2: Convert to fraction form
    284,390.96/425,331.61 = 253,021.16/x
  3. Step 3: Cross multiply
    284,390.96x = 425,331.61 × 253,021.16
  4. Step 4: Simplify right side
    284,390.96x = 107,617,897,777.64
  5. Step 5: Solve for x
    x = 107,617,897,777.64/284,390.96
  6. Step 6: Final answer
    x = 378,415.33

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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.