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Finding the Fourth Proportional to 465,305.15, 698,305.12 and 345,638.43

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Solution

The fourth proportional to 465,305.15, 698,305.12 and 345,638.43 is: 518,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,305.15 : 698,305.12 = 345,638.43 : x
  2. Step 2: Convert to fraction form
    465,305.15/698,305.12 = 345,638.43/x
  3. Step 3: Cross multiply
    465,305.15x = 698,305.12 × 345,638.43
  4. Step 4: Simplify right side
    465,305.15x = 241,361,084,473.67
  5. Step 5: Solve for x
    x = 241,361,084,473.67/465,305.15
  6. Step 6: Final answer
    x = 518,715.69

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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.