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Finding the Fourth Proportional to 309,881.64, 427,650.66 and 242,697

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Solution

The fourth proportional to 309,881.64, 427,650.66 and 242,697 is: 334,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,881.64 : 427,650.66 = 242,697 : x
  2. Step 2: Convert to fraction form
    309,881.64/427,650.66 = 242,697/x
  3. Step 3: Cross multiply
    309,881.64x = 427,650.66 × 242,697
  4. Step 4: Simplify right side
    309,881.64x = 103,789,532,230.02
  5. Step 5: Solve for x
    x = 103,789,532,230.02/309,881.64
  6. Step 6: Final answer
    x = 334,932.82

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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.