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Finding the Fourth Proportional to 338,889.08, 507,978.94 and 114,171.86

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Solution

The fourth proportional to 338,889.08, 507,978.94 and 114,171.86 is: 171,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,889.08 : 507,978.94 = 114,171.86 : x
  2. Step 2: Convert to fraction form
    338,889.08/507,978.94 = 114,171.86/x
  3. Step 3: Cross multiply
    338,889.08x = 507,978.94 × 114,171.86
  4. Step 4: Simplify right side
    338,889.08x = 57,996,900,420.63
  5. Step 5: Solve for x
    x = 57,996,900,420.63/338,889.08
  6. Step 6: Final answer
    x = 171,138.30

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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.