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Finding the Fourth Proportional to 447,971.58, 618,201.62 and 266,689.78

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Solution

The fourth proportional to 447,971.58, 618,201.62 and 266,689.78 is: 368,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,971.58 : 618,201.62 = 266,689.78 : x
  2. Step 2: Convert to fraction form
    447,971.58/618,201.62 = 266,689.78/x
  3. Step 3: Cross multiply
    447,971.58x = 618,201.62 × 266,689.78
  4. Step 4: Simplify right side
    447,971.58x = 164,868,055,631.96
  5. Step 5: Solve for x
    x = 164,868,055,631.96/447,971.58
  6. Step 6: Final answer
    x = 368,032.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.