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Finding the Fourth Proportional to 286,734.74, 395,703.90 and 157,678.52

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Solution

The fourth proportional to 286,734.74, 395,703.90 and 157,678.52 is: 217,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,734.74 : 395,703.90 = 157,678.52 : x
  2. Step 2: Convert to fraction form
    286,734.74/395,703.90 = 157,678.52/x
  3. Step 3: Cross multiply
    286,734.74x = 395,703.90 × 157,678.52
  4. Step 4: Simplify right side
    286,734.74x = 62,394,003,331.71
  5. Step 5: Solve for x
    x = 62,394,003,331.71/286,734.74
  6. Step 6: Final answer
    x = 217,601.83

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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.