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Finding the Fourth Proportional to 447,019.40, 616,634.29 and 265,789.78

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Solution

The fourth proportional to 447,019.40, 616,634.29 and 265,789.78 is: 366,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,019.40 : 616,634.29 = 265,789.78 : x
  2. Step 2: Convert to fraction form
    447,019.40/616,634.29 = 265,789.78/x
  3. Step 3: Cross multiply
    447,019.40x = 616,634.29 × 265,789.78
  4. Step 4: Simplify right side
    447,019.40x = 163,895,091,070.21
  5. Step 5: Solve for x
    x = 163,895,091,070.21/447,019.40
  6. Step 6: Final answer
    x = 366,639.77

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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.