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Finding the Fourth Proportional to 284,859.92, 427,158.14 and 104,899.90

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Solution

The fourth proportional to 284,859.92, 427,158.14 and 104,899.90 is: 157,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,859.92 : 427,158.14 = 104,899.90 : x
  2. Step 2: Convert to fraction form
    284,859.92/427,158.14 = 104,899.90/x
  3. Step 3: Cross multiply
    284,859.92x = 427,158.14 × 104,899.90
  4. Step 4: Simplify right side
    284,859.92x = 44,808,844,577.79
  5. Step 5: Solve for x
    x = 44,808,844,577.79/284,859.92
  6. Step 6: Final answer
    x = 157,301.33

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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.