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Finding the Fourth Proportional to 275,874, 380,706.48 and 156,642

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Solution

The fourth proportional to 275,874, 380,706.48 and 156,642 is: 216,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,874 : 380,706.48 = 156,642 : x
  2. Step 2: Convert to fraction form
    275,874/380,706.48 = 156,642/x
  3. Step 3: Cross multiply
    275,874x = 380,706.48 × 156,642
  4. Step 4: Simplify right side
    275,874x = 59,634,624,440.16
  5. Step 5: Solve for x
    x = 59,634,624,440.16/275,874
  6. Step 6: Final answer
    x = 216,166.16

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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.