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Finding the Fourth Proportional to 465,321.40, 698,329.48 and 345,654.66

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Solution

The fourth proportional to 465,321.40, 698,329.48 and 345,654.66 is: 518,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,321.40 : 698,329.48 = 345,654.66 : x
  2. Step 2: Convert to fraction form
    465,321.40/698,329.48 = 345,654.66/x
  3. Step 3: Cross multiply
    465,321.40x = 698,329.48 × 345,654.66
  4. Step 4: Simplify right side
    465,321.40x = 241,380,838,977.38
  5. Step 5: Solve for x
    x = 241,380,838,977.38/465,321.40
  6. Step 6: Final answer
    x = 518,740.03

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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.