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Finding the Fourth Proportional to 275,881.40, 413,822.10 and 220,585.40

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Solution

The fourth proportional to 275,881.40, 413,822.10 and 220,585.40 is: 330,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,881.40 : 413,822.10 = 220,585.40 : x
  2. Step 2: Convert to fraction form
    275,881.40/413,822.10 = 220,585.40/x
  3. Step 3: Cross multiply
    275,881.40x = 413,822.10 × 220,585.40
  4. Step 4: Simplify right side
    275,881.40x = 91,283,113,457.34
  5. Step 5: Solve for x
    x = 91,283,113,457.34/275,881.40
  6. Step 6: Final answer
    x = 330,878.10

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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.