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Finding the Fourth Proportional to 488,005.46, 673,284.54 and 284,013.12

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Solution

The fourth proportional to 488,005.46, 673,284.54 and 284,013.12 is: 391,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,005.46 : 673,284.54 = 284,013.12 : x
  2. Step 2: Convert to fraction form
    488,005.46/673,284.54 = 284,013.12/x
  3. Step 3: Cross multiply
    488,005.46x = 673,284.54 × 284,013.12
  4. Step 4: Simplify right side
    488,005.46x = 191,221,639,486.74
  5. Step 5: Solve for x
    x = 191,221,639,486.74/488,005.46
  6. Step 6: Final answer
    x = 391,843.24

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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.