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Finding the Fourth Proportional to 338,778.32, 507,279.71 and 238,395.02

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Solution

The fourth proportional to 338,778.32, 507,279.71 and 238,395.02 is: 356,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,778.32 : 507,279.71 = 238,395.02 : x
  2. Step 2: Convert to fraction form
    338,778.32/507,279.71 = 238,395.02/x
  3. Step 3: Cross multiply
    338,778.32x = 507,279.71 × 238,395.02
  4. Step 4: Simplify right side
    338,778.32x = 120,932,954,670.63
  5. Step 5: Solve for x
    x = 120,932,954,670.63/338,778.32
  6. Step 6: Final answer
    x = 356,967.81

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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.