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Finding the Fourth Proportional to 319,357.32, 478,641.49 and 274,060.27

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Solution

The fourth proportional to 319,357.32, 478,641.49 and 274,060.27 is: 410,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,357.32 : 478,641.49 = 274,060.27 : x
  2. Step 2: Convert to fraction form
    319,357.32/478,641.49 = 274,060.27/x
  3. Step 3: Cross multiply
    319,357.32x = 478,641.49 × 274,060.27
  4. Step 4: Simplify right side
    319,357.32x = 131,176,615,982.60
  5. Step 5: Solve for x
    x = 131,176,615,982.60/319,357.32
  6. Step 6: Final answer
    x = 410,751.87

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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.