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Finding the Fourth Proportional to 611,876.60, 917,231.70 and 476,865.80

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Solution

The fourth proportional to 611,876.60, 917,231.70 and 476,865.80 is: 714,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,876.60 : 917,231.70 = 476,865.80 : x
  2. Step 2: Convert to fraction form
    611,876.60/917,231.70 = 476,865.80/x
  3. Step 3: Cross multiply
    611,876.60x = 917,231.70 × 476,865.80
  4. Step 4: Simplify right side
    611,876.60x = 437,396,428,405.86
  5. Step 5: Solve for x
    x = 437,396,428,405.86/611,876.60
  6. Step 6: Final answer
    x = 714,844.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.