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Finding the Fourth Proportional to 338,887.89, 507,977.16 and 114,170.67

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Solution

The fourth proportional to 338,887.89, 507,977.16 and 114,170.67 is: 171,136.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,887.89 : 507,977.16 = 114,170.67 : x
  2. Step 2: Convert to fraction form
    338,887.89/507,977.16 = 114,170.67/x
  3. Step 3: Cross multiply
    338,887.89x = 507,977.16 × 114,170.67
  4. Step 4: Simplify right side
    338,887.89x = 57,996,094,820.88
  5. Step 5: Solve for x
    x = 57,996,094,820.88/338,887.89
  6. Step 6: Final answer
    x = 171,136.52

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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.