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Finding the Fourth Proportional to 664,302,619.20, 996,453,928.80 and 457,678,358.40

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Solution

The fourth proportional to 664,302,619.20, 996,453,928.80 and 457,678,358.40 is: 686,517,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,302,619.20 : 996,453,928.80 = 457,678,358.40 : x
  2. Step 2: Convert to fraction form
    664,302,619.20/996,453,928.80 = 457,678,358.40/x
  3. Step 3: Cross multiply
    664,302,619.20x = 996,453,928.80 × 457,678,358.40
  4. Step 4: Simplify right side
    664,302,619.20x = 456,055,398,354,414,464
  5. Step 5: Solve for x
    x = 456,055,398,354,414,464/664,302,619.20
  6. Step 6: Final answer
    x = 686,517,537.60

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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.