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Finding the Fourth Proportional to 464,768, 641,379.84 and 252,800

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Solution

The fourth proportional to 464,768, 641,379.84 and 252,800 is: 348,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,768 : 641,379.84 = 252,800 : x
  2. Step 2: Convert to fraction form
    464,768/641,379.84 = 252,800/x
  3. Step 3: Cross multiply
    464,768x = 641,379.84 × 252,800
  4. Step 4: Simplify right side
    464,768x = 162,140,823,552
  5. Step 5: Solve for x
    x = 162,140,823,552/464,768
  6. Step 6: Final answer
    x = 348,864

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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.