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Finding the Fourth Proportional to 284,030.72, 391,919.28 and 161,511.20

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Solution

The fourth proportional to 284,030.72, 391,919.28 and 161,511.20 is: 222,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,030.72 : 391,919.28 = 161,511.20 : x
  2. Step 2: Convert to fraction form
    284,030.72/391,919.28 = 161,511.20/x
  3. Step 3: Cross multiply
    284,030.72x = 391,919.28 × 161,511.20
  4. Step 4: Simplify right side
    284,030.72x = 63,299,353,215.94
  5. Step 5: Solve for x
    x = 63,299,353,215.94/284,030.72
  6. Step 6: Final answer
    x = 222,860.94

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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.