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Finding the Fourth Proportional to 229,719.87, 316,923.71 and 169,434

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Solution

The fourth proportional to 229,719.87, 316,923.71 and 169,434 is: 233,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,719.87 : 316,923.71 = 169,434 : x
  2. Step 2: Convert to fraction form
    229,719.87/316,923.71 = 169,434/x
  3. Step 3: Cross multiply
    229,719.87x = 316,923.71 × 169,434
  4. Step 4: Simplify right side
    229,719.87x = 53,697,651,032.97
  5. Step 5: Solve for x
    x = 53,697,651,032.97/229,719.87
  6. Step 6: Final answer
    x = 233,752.75

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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.