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Finding the Fourth Proportional to 280,354.80, 386,895.96 and 159,491.28

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Solution

The fourth proportional to 280,354.80, 386,895.96 and 159,491.28 is: 220,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,354.80 : 386,895.96 = 159,491.28 : x
  2. Step 2: Convert to fraction form
    280,354.80/386,895.96 = 159,491.28/x
  3. Step 3: Cross multiply
    280,354.80x = 386,895.96 × 159,491.28
  4. Step 4: Simplify right side
    280,354.80x = 61,706,531,887.23
  5. Step 5: Solve for x
    x = 61,706,531,887.23/280,354.80
  6. Step 6: Final answer
    x = 220,101.57

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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.