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Finding the Fourth Proportional to 835,781, 1,153,377.78 and 478,085

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Solution

The fourth proportional to 835,781, 1,153,377.78 and 478,085 is: 659,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,781 : 1,153,377.78 = 478,085 : x
  2. Step 2: Convert to fraction form
    835,781/1,153,377.78 = 478,085/x
  3. Step 3: Cross multiply
    835,781x = 1,153,377.78 × 478,085
  4. Step 4: Simplify right side
    835,781x = 551,412,615,951.30
  5. Step 5: Solve for x
    x = 551,412,615,951.30/835,781
  6. Step 6: Final answer
    x = 659,757.30

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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.