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Finding the Fourth Proportional to 275,440, 413,334.78 and 117,669.64

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Solution

The fourth proportional to 275,440, 413,334.78 and 117,669.64 is: 176,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,440 : 413,334.78 = 117,669.64 : x
  2. Step 2: Convert to fraction form
    275,440/413,334.78 = 117,669.64/x
  3. Step 3: Cross multiply
    275,440x = 413,334.78 × 117,669.64
  4. Step 4: Simplify right side
    275,440x = 48,636,954,762.08
  5. Step 5: Solve for x
    x = 48,636,954,762.08/275,440
  6. Step 6: Final answer
    x = 176,579.13

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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.