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Finding the Fourth Proportional to 317,904,601.20, 476,856,901.80 and 298,756,978.80

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Solution

The fourth proportional to 317,904,601.20, 476,856,901.80 and 298,756,978.80 is: 448,135,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,904,601.20 : 476,856,901.80 = 298,756,978.80 : x
  2. Step 2: Convert to fraction form
    317,904,601.20/476,856,901.80 = 298,756,978.80/x
  3. Step 3: Cross multiply
    317,904,601.20x = 476,856,901.80 × 298,756,978.80
  4. Step 4: Simplify right side
    317,904,601.20x = 142,464,327,301,696,288
  5. Step 5: Solve for x
    x = 142,464,327,301,696,288/317,904,601.20
  6. Step 6: Final answer
    x = 448,135,468.20

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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.