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Finding the Fourth Proportional to 392,776.68, 542,055.05 and 295,809.51

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Solution

The fourth proportional to 392,776.68, 542,055.05 and 295,809.51 is: 408,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,776.68 : 542,055.05 = 295,809.51 : x
  2. Step 2: Convert to fraction form
    392,776.68/542,055.05 = 295,809.51/x
  3. Step 3: Cross multiply
    392,776.68x = 542,055.05 × 295,809.51
  4. Step 4: Simplify right side
    392,776.68x = 160,345,037,347.41
  5. Step 5: Solve for x
    x = 160,345,037,347.41/392,776.68
  6. Step 6: Final answer
    x = 408,234.61

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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.