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Finding the Fourth Proportional to 338,889.43, 507,656 and 203,878.66

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Solution

The fourth proportional to 338,889.43, 507,656 and 203,878.66 is: 305,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,889.43 : 507,656 = 203,878.66 : x
  2. Step 2: Convert to fraction form
    338,889.43/507,656 = 203,878.66/x
  3. Step 3: Cross multiply
    338,889.43x = 507,656 × 203,878.66
  4. Step 4: Simplify right side
    338,889.43x = 103,500,225,020.96
  5. Step 5: Solve for x
    x = 103,500,225,020.96/338,889.43
  6. Step 6: Final answer
    x = 305,410.02

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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.