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Finding the Fourth Proportional to 616,115.40, 850,208.86 and 344,129.16

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Solution

The fourth proportional to 616,115.40, 850,208.86 and 344,129.16 is: 474,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,115.40 : 850,208.86 = 344,129.16 : x
  2. Step 2: Convert to fraction form
    616,115.40/850,208.86 = 344,129.16/x
  3. Step 3: Cross multiply
    616,115.40x = 850,208.86 × 344,129.16
  4. Step 4: Simplify right side
    616,115.40x = 292,581,660,816.36
  5. Step 5: Solve for x
    x = 292,581,660,816.36/616,115.40
  6. Step 6: Final answer
    x = 474,881.27

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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.