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Finding the Fourth Proportional to 212,323.68, 316,784.52 and 169,429.32

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Solution

The fourth proportional to 212,323.68, 316,784.52 and 169,429.32 is: 252,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,323.68 : 316,784.52 = 169,429.32 : x
  2. Step 2: Convert to fraction form
    212,323.68/316,784.52 = 169,429.32/x
  3. Step 3: Cross multiply
    212,323.68x = 316,784.52 × 169,429.32
  4. Step 4: Simplify right side
    212,323.68x = 53,672,585,810.13
  5. Step 5: Solve for x
    x = 53,672,585,810.13/212,323.68
  6. Step 6: Final answer
    x = 252,786.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.