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Finding the Fourth Proportional to 521,893.48, 782,878.62 and 162,017.16

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Solution

The fourth proportional to 521,893.48, 782,878.62 and 162,017.16 is: 243,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,893.48 : 782,878.62 = 162,017.16 : x
  2. Step 2: Convert to fraction form
    521,893.48/782,878.62 = 162,017.16/x
  3. Step 3: Cross multiply
    521,893.48x = 782,878.62 × 162,017.16
  4. Step 4: Simplify right side
    521,893.48x = 126,839,770,637.12
  5. Step 5: Solve for x
    x = 126,839,770,637.12/521,893.48
  6. Step 6: Final answer
    x = 243,037.66

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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.