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Finding the Fourth Proportional to 806,894.88, 1,211,090.40 and 407,816.52

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Solution

The fourth proportional to 806,894.88, 1,211,090.40 and 407,816.52 is: 612,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,894.88 : 1,211,090.40 = 407,816.52 : x
  2. Step 2: Convert to fraction form
    806,894.88/1,211,090.40 = 407,816.52/x
  3. Step 3: Cross multiply
    806,894.88x = 1,211,090.40 × 407,816.52
  4. Step 4: Simplify right side
    806,894.88x = 493,902,672,333.41
  5. Step 5: Solve for x
    x = 493,902,672,333.41/806,894.88
  6. Step 6: Final answer
    x = 612,102.87

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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.