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Finding the Fourth Proportional to 262,129.77, 361,696.88 and 147,401.57

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Solution

The fourth proportional to 262,129.77, 361,696.88 and 147,401.57 is: 203,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,129.77 : 361,696.88 = 147,401.57 : x
  2. Step 2: Convert to fraction form
    262,129.77/361,696.88 = 147,401.57/x
  3. Step 3: Cross multiply
    262,129.77x = 361,696.88 × 147,401.57
  4. Step 4: Simplify right side
    262,129.77x = 53,314,686,943.28
  5. Step 5: Solve for x
    x = 53,314,686,943.28/262,129.77
  6. Step 6: Final answer
    x = 203,390.43

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1.5x scale

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.