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Finding the Fourth Proportional to 236,430.70, 354,974.10 and 147,857.20

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Solution

The fourth proportional to 236,430.70, 354,974.10 and 147,857.20 is: 221,990.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,430.70 : 354,974.10 = 147,857.20 : x
  2. Step 2: Convert to fraction form
    236,430.70/354,974.10 = 147,857.20/x
  3. Step 3: Cross multiply
    236,430.70x = 354,974.10 × 147,857.20
  4. Step 4: Simplify right side
    236,430.70x = 52,485,476,498.52
  5. Step 5: Solve for x
    x = 52,485,476,498.52/236,430.70
  6. Step 6: Final answer
    x = 221,990.95

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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.