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Finding the Fourth Proportional to 782,216, 1,079,458.08 and 424,520

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Solution

The fourth proportional to 782,216, 1,079,458.08 and 424,520 is: 585,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,216 : 1,079,458.08 = 424,520 : x
  2. Step 2: Convert to fraction form
    782,216/1,079,458.08 = 424,520/x
  3. Step 3: Cross multiply
    782,216x = 1,079,458.08 × 424,520
  4. Step 4: Simplify right side
    782,216x = 458,251,544,121.60
  5. Step 5: Solve for x
    x = 458,251,544,121.60/782,216
  6. Step 6: Final answer
    x = 585,837.60

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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.