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Finding the Fourth Proportional to 614,543.92, 848,121.12 and 338,955.76

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Solution

The fourth proportional to 614,543.92, 848,121.12 and 338,955.76 is: 467,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,543.92 : 848,121.12 = 338,955.76 : x
  2. Step 2: Convert to fraction form
    614,543.92/848,121.12 = 338,955.76/x
  3. Step 3: Cross multiply
    614,543.92x = 848,121.12 × 338,955.76
  4. Step 4: Simplify right side
    614,543.92x = 287,475,538,801.65
  5. Step 5: Solve for x
    x = 287,475,538,801.65/614,543.92
  6. Step 6: Final answer
    x = 467,786.81

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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.