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Finding the Fourth Proportional to 211,334.70, 316,476.15 and 147,857.85

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Solution

The fourth proportional to 211,334.70, 316,476.15 and 147,857.85 is: 221,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,334.70 : 316,476.15 = 147,857.85 : x
  2. Step 2: Convert to fraction form
    211,334.70/316,476.15 = 147,857.85/x
  3. Step 3: Cross multiply
    211,334.70x = 316,476.15 × 147,857.85
  4. Step 4: Simplify right side
    211,334.70x = 46,793,483,115.28
  5. Step 5: Solve for x
    x = 46,793,483,115.28/211,334.70
  6. Step 6: Final answer
    x = 221,418.84

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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.