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Finding the Fourth Proportional to 616,384, 850,609.92 and 333,760

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Solution

The fourth proportional to 616,384, 850,609.92 and 333,760 is: 460,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,384 : 850,609.92 = 333,760 : x
  2. Step 2: Convert to fraction form
    616,384/850,609.92 = 333,760/x
  3. Step 3: Cross multiply
    616,384x = 850,609.92 × 333,760
  4. Step 4: Simplify right side
    616,384x = 283,899,566,899.20
  5. Step 5: Solve for x
    x = 283,899,566,899.20/616,384
  6. Step 6: Final answer
    x = 460,588.80

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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.