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Finding the Fourth Proportional to 280,569.96, 420,577.90 and 111,988.68

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Solution

The fourth proportional to 280,569.96, 420,577.90 and 111,988.68 is: 167,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,569.96 : 420,577.90 = 111,988.68 : x
  2. Step 2: Convert to fraction form
    280,569.96/420,577.90 = 111,988.68/x
  3. Step 3: Cross multiply
    280,569.96x = 420,577.90 × 111,988.68
  4. Step 4: Simplify right side
    280,569.96x = 47,099,963,858.17
  5. Step 5: Solve for x
    x = 47,099,963,858.17/280,569.96
  6. Step 6: Final answer
    x = 167,872.44

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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.