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Finding the Fourth Proportional to 465,320.40, 698,327.98 and 345,653.66

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Solution

The fourth proportional to 465,320.40, 698,327.98 and 345,653.66 is: 518,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,320.40 : 698,327.98 = 345,653.66 : x
  2. Step 2: Convert to fraction form
    465,320.40/698,327.98 = 345,653.66/x
  3. Step 3: Cross multiply
    465,320.40x = 698,327.98 × 345,653.66
  4. Step 4: Simplify right side
    465,320.40x = 241,379,622,167.41
  5. Step 5: Solve for x
    x = 241,379,622,167.41/465,320.40
  6. Step 6: Final answer
    x = 518,738.53

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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.