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Finding the Fourth Proportional to 624,934.86, 862,412.31 and 338,454.06

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Solution

The fourth proportional to 624,934.86, 862,412.31 and 338,454.06 is: 467,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,934.86 : 862,412.31 = 338,454.06 : x
  2. Step 2: Convert to fraction form
    624,934.86/862,412.31 = 338,454.06/x
  3. Step 3: Cross multiply
    624,934.86x = 862,412.31 × 338,454.06
  4. Step 4: Simplify right side
    624,934.86x = 291,886,947,713.48
  5. Step 5: Solve for x
    x = 291,886,947,713.48/624,934.86
  6. Step 6: Final answer
    x = 467,067.80

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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.