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Finding the Fourth Proportional to 301,781.36, 416,302.12 and 204,990.20

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Solution

The fourth proportional to 301,781.36, 416,302.12 and 204,990.20 is: 282,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,781.36 : 416,302.12 = 204,990.20 : x
  2. Step 2: Convert to fraction form
    301,781.36/416,302.12 = 204,990.20/x
  3. Step 3: Cross multiply
    301,781.36x = 416,302.12 × 204,990.20
  4. Step 4: Simplify right side
    301,781.36x = 85,337,854,839.22
  5. Step 5: Solve for x
    x = 85,337,854,839.22/301,781.36
  6. Step 6: Final answer
    x = 282,780.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.