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Finding the Fourth Proportional to 410,768.35, 615,601.77 and 319,693.74

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Solution

The fourth proportional to 410,768.35, 615,601.77 and 319,693.74 is: 479,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,768.35 : 615,601.77 = 319,693.74 : x
  2. Step 2: Convert to fraction form
    410,768.35/615,601.77 = 319,693.74/x
  3. Step 3: Cross multiply
    410,768.35x = 615,601.77 × 319,693.74
  4. Step 4: Simplify right side
    410,768.35x = 196,804,032,201.92
  5. Step 5: Solve for x
    x = 196,804,032,201.92/410,768.35
  6. Step 6: Final answer
    x = 479,111.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.