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Finding the Fourth Proportional to 312,719.94, 431,552.43 and 169,483.50

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Solution

The fourth proportional to 312,719.94, 431,552.43 and 169,483.50 is: 233,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,719.94 : 431,552.43 = 169,483.50 : x
  2. Step 2: Convert to fraction form
    312,719.94/431,552.43 = 169,483.50/x
  3. Step 3: Cross multiply
    312,719.94x = 431,552.43 × 169,483.50
  4. Step 4: Simplify right side
    312,719.94x = 73,141,016,269.91
  5. Step 5: Solve for x
    x = 73,141,016,269.91/312,719.94
  6. Step 6: Final answer
    x = 233,886.64

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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.