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Finding the Fourth Proportional to 616,114.26, 850,207.32 and 344,128

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Solution

The fourth proportional to 616,114.26, 850,207.32 and 344,128 is: 474,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,114.26 : 850,207.32 = 344,128 : x
  2. Step 2: Convert to fraction form
    616,114.26/850,207.32 = 344,128/x
  3. Step 3: Cross multiply
    616,114.26x = 850,207.32 × 344,128
  4. Step 4: Simplify right side
    616,114.26x = 292,580,144,616.96
  5. Step 5: Solve for x
    x = 292,580,144,616.96/616,114.26
  6. Step 6: Final answer
    x = 474,879.68

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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.