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Finding the Fourth Proportional to 312,584, 431,366.10 and 169,345.04

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Solution

The fourth proportional to 312,584, 431,366.10 and 169,345.04 is: 233,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,584 : 431,366.10 = 169,345.04 : x
  2. Step 2: Convert to fraction form
    312,584/431,366.10 = 169,345.04/x
  3. Step 3: Cross multiply
    312,584x = 431,366.10 × 169,345.04
  4. Step 4: Simplify right side
    312,584x = 73,049,709,459.14
  5. Step 5: Solve for x
    x = 73,049,709,459.14/312,584
  6. Step 6: Final answer
    x = 233,696.25

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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.