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Finding the Fourth Proportional to 650,605.31, 897,728.19 and 408,716.58

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Solution

The fourth proportional to 650,605.31, 897,728.19 and 408,716.58 is: 563,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,605.31 : 897,728.19 = 408,716.58 : x
  2. Step 2: Convert to fraction form
    650,605.31/897,728.19 = 408,716.58/x
  3. Step 3: Cross multiply
    650,605.31x = 897,728.19 × 408,716.58
  4. Step 4: Simplify right side
    650,605.31x = 366,916,395,586.39
  5. Step 5: Solve for x
    x = 366,916,395,586.39/650,605.31
  6. Step 6: Final answer
    x = 563,961.58

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1.5x scale

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.