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Finding the Fourth Proportional to 770,802, 1,063,706.76 and 431,335.86

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Solution

The fourth proportional to 770,802, 1,063,706.76 and 431,335.86 is: 595,243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,802 : 1,063,706.76 = 431,335.86 : x
  2. Step 2: Convert to fraction form
    770,802/1,063,706.76 = 431,335.86/x
  3. Step 3: Cross multiply
    770,802x = 1,063,706.76 × 431,335.86
  4. Step 4: Simplify right side
    770,802x = 458,814,870,112.41
  5. Step 5: Solve for x
    x = 458,814,870,112.41/770,802
  6. Step 6: Final answer
    x = 595,243.49

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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.