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Finding the Fourth Proportional to 650,317, 897,134.31 and 420,948.10

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Solution

The fourth proportional to 650,317, 897,134.31 and 420,948.10 is: 580,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,317 : 897,134.31 = 420,948.10 : x
  2. Step 2: Convert to fraction form
    650,317/897,134.31 = 420,948.10/x
  3. Step 3: Cross multiply
    650,317x = 897,134.31 × 420,948.10
  4. Step 4: Simplify right side
    650,317x = 377,646,983,239.31
  5. Step 5: Solve for x
    x = 377,646,983,239.31/650,317
  6. Step 6: Final answer
    x = 580,712.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.