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Finding the Fourth Proportional to 280,407.96, 386,996.94 and 159,578.64

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Solution

The fourth proportional to 280,407.96, 386,996.94 and 159,578.64 is: 220,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,407.96 : 386,996.94 = 159,578.64 : x
  2. Step 2: Convert to fraction form
    280,407.96/386,996.94 = 159,578.64/x
  3. Step 3: Cross multiply
    280,407.96x = 386,996.94 × 159,578.64
  4. Step 4: Simplify right side
    280,407.96x = 61,756,445,369.36
  5. Step 5: Solve for x
    x = 61,756,445,369.36/280,407.96
  6. Step 6: Final answer
    x = 220,237.85

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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.