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Finding the Fourth Proportional to 447,013.88, 616,879.86 and 243,064.64

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Solution

The fourth proportional to 447,013.88, 616,879.86 and 243,064.64 is: 335,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,013.88 : 616,879.86 = 243,064.64 : x
  2. Step 2: Convert to fraction form
    447,013.88/616,879.86 = 243,064.64/x
  3. Step 3: Cross multiply
    447,013.88x = 616,879.86 × 243,064.64
  4. Step 4: Simplify right side
    447,013.88x = 149,941,681,094.15
  5. Step 5: Solve for x
    x = 149,941,681,094.15/447,013.88
  6. Step 6: Final answer
    x = 335,429.59

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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.