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Finding the Fourth Proportional to 275,878.90, 413,818.35 and 109,666.90

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Solution

The fourth proportional to 275,878.90, 413,818.35 and 109,666.90 is: 164,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,878.90 : 413,818.35 = 109,666.90 : x
  2. Step 2: Convert to fraction form
    275,878.90/413,818.35 = 109,666.90/x
  3. Step 3: Cross multiply
    275,878.90x = 413,818.35 × 109,666.90
  4. Step 4: Simplify right side
    275,878.90x = 45,382,175,607.62
  5. Step 5: Solve for x
    x = 45,382,175,607.62/275,878.90
  6. Step 6: Final answer
    x = 164,500.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.