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Finding the Fourth Proportional to 312,809.80, 431,678.10 and 169,569.40

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Solution

The fourth proportional to 312,809.80, 431,678.10 and 169,569.40 is: 234,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,809.80 : 431,678.10 = 169,569.40 : x
  2. Step 2: Convert to fraction form
    312,809.80/431,678.10 = 169,569.40/x
  3. Step 3: Cross multiply
    312,809.80x = 431,678.10 × 169,569.40
  4. Step 4: Simplify right side
    312,809.80x = 73,199,396,410.14
  5. Step 5: Solve for x
    x = 73,199,396,410.14/312,809.80
  6. Step 6: Final answer
    x = 234,006.08

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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.