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Finding the Fourth Proportional to 486,026.40, 729,039.60 and 456,477.60

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Solution

The fourth proportional to 486,026.40, 729,039.60 and 456,477.60 is: 684,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,026.40 : 729,039.60 = 456,477.60 : x
  2. Step 2: Convert to fraction form
    486,026.40/729,039.60 = 456,477.60/x
  3. Step 3: Cross multiply
    486,026.40x = 729,039.60 × 456,477.60
  4. Step 4: Simplify right side
    486,026.40x = 332,790,246,912.96
  5. Step 5: Solve for x
    x = 332,790,246,912.96/486,026.40
  6. Step 6: Final answer
    x = 684,716.40

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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.