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Finding the Fourth Proportional to 230,838.45, 316,247.19 and 222,206.28

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Solution

The fourth proportional to 230,838.45, 316,247.19 and 222,206.28 is: 304,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,838.45 : 316,247.19 = 222,206.28 : x
  2. Step 2: Convert to fraction form
    230,838.45/316,247.19 = 222,206.28/x
  3. Step 3: Cross multiply
    230,838.45x = 316,247.19 × 222,206.28
  4. Step 4: Simplify right side
    230,838.45x = 70,272,111,650.35
  5. Step 5: Solve for x
    x = 70,272,111,650.35/230,838.45
  6. Step 6: Final answer
    x = 304,421.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.