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Finding the Fourth Proportional to 309,642.68, 427,298.82 and 171,820.64

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Solution

The fourth proportional to 309,642.68, 427,298.82 and 171,820.64 is: 237,108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,642.68 : 427,298.82 = 171,820.64 : x
  2. Step 2: Convert to fraction form
    309,642.68/427,298.82 = 171,820.64/x
  3. Step 3: Cross multiply
    309,642.68x = 427,298.82 × 171,820.64
  4. Step 4: Simplify right side
    309,642.68x = 73,418,756,723.64
  5. Step 5: Solve for x
    x = 73,418,756,723.64/309,642.68
  6. Step 6: Final answer
    x = 237,108.00

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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.