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Finding the Fourth Proportional to 284,978,775.37, 427,744,585.11 and 137,530,101.17

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Solution

The fourth proportional to 284,978,775.37, 427,744,585.11 and 137,530,101.17 is: 206,428,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,978,775.37 : 427,744,585.11 = 137,530,101.17 : x
  2. Step 2: Convert to fraction form
    284,978,775.37/427,744,585.11 = 137,530,101.17/x
  3. Step 3: Cross multiply
    284,978,775.37x = 427,744,585.11 × 137,530,101.17
  4. Step 4: Simplify right side
    284,978,775.37x = 58,827,756,062,271,600
  5. Step 5: Solve for x
    x = 58,827,756,062,271,600/284,978,775.37
  6. Step 6: Final answer
    x = 206,428,552.39

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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.