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Finding the Fourth Proportional to 312,646.74, 431,601.27 and 209,458.62

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Solution

The fourth proportional to 312,646.74, 431,601.27 and 209,458.62 is: 289,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,646.74 : 431,601.27 = 209,458.62 : x
  2. Step 2: Convert to fraction form
    312,646.74/431,601.27 = 209,458.62/x
  3. Step 3: Cross multiply
    312,646.74x = 431,601.27 × 209,458.62
  4. Step 4: Simplify right side
    312,646.74x = 90,402,606,404.45
  5. Step 5: Solve for x
    x = 90,402,606,404.45/312,646.74
  6. Step 6: Final answer
    x = 289,152.56

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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.