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Finding the Fourth Proportional to 257,272,978.87, 384,899,268.57 and 198,536,901.49

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Solution

The fourth proportional to 257,272,978.87, 384,899,268.57 and 198,536,901.49 is: 297,025,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,272,978.87 : 384,899,268.57 = 198,536,901.49 : x
  2. Step 2: Convert to fraction form
    257,272,978.87/384,899,268.57 = 198,536,901.49/x
  3. Step 3: Cross multiply
    257,272,978.87x = 384,899,268.57 × 198,536,901.49
  4. Step 4: Simplify right side
    257,272,978.87x = 76,416,708,167,655,152
  5. Step 5: Solve for x
    x = 76,416,708,167,655,152/257,272,978.87
  6. Step 6: Final answer
    x = 297,025,783.68

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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.