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Finding the Fourth Proportional to 286,874.96, 395,901.46 and 159,547.82

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Solution

The fourth proportional to 286,874.96, 395,901.46 and 159,547.82 is: 220,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,874.96 : 395,901.46 = 159,547.82 : x
  2. Step 2: Convert to fraction form
    286,874.96/395,901.46 = 159,547.82/x
  3. Step 3: Cross multiply
    286,874.96x = 395,901.46 × 159,547.82
  4. Step 4: Simplify right side
    286,874.96x = 63,165,214,877.82
  5. Step 5: Solve for x
    x = 63,165,214,877.82/286,874.96
  6. Step 6: Final answer
    x = 220,183.79

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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.