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Finding the Fourth Proportional to 835,825.50, 1,153,439.19 and 478,129.50

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Solution

The fourth proportional to 835,825.50, 1,153,439.19 and 478,129.50 is: 659,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,825.50 : 1,153,439.19 = 478,129.50 : x
  2. Step 2: Convert to fraction form
    835,825.50/1,153,439.19 = 478,129.50/x
  3. Step 3: Cross multiply
    835,825.50x = 1,153,439.19 × 478,129.50
  4. Step 4: Simplify right side
    835,825.50x = 551,493,303,195.11
  5. Step 5: Solve for x
    x = 551,493,303,195.11/835,825.50
  6. Step 6: Final answer
    x = 659,818.71

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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.