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Finding the Fourth Proportional to 835,780, 1,153,376.40 and 478,084

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Solution

The fourth proportional to 835,780, 1,153,376.40 and 478,084 is: 659,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,780 : 1,153,376.40 = 478,084 : x
  2. Step 2: Convert to fraction form
    835,780/1,153,376.40 = 478,084/x
  3. Step 3: Cross multiply
    835,780x = 1,153,376.40 × 478,084
  4. Step 4: Simplify right side
    835,780x = 551,410,802,817.60
  5. Step 5: Solve for x
    x = 551,410,802,817.60/835,780
  6. Step 6: Final answer
    x = 659,755.92

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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.