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Finding the Fourth Proportional to 256,649.24, 384,967.38 and 69,655.88

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Solution

The fourth proportional to 256,649.24, 384,967.38 and 69,655.88 is: 104,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,649.24 : 384,967.38 = 69,655.88 : x
  2. Step 2: Convert to fraction form
    256,649.24/384,967.38 = 69,655.88/x
  3. Step 3: Cross multiply
    256,649.24x = 384,967.38 × 69,655.88
  4. Step 4: Simplify right side
    256,649.24x = 26,815,241,625.19
  5. Step 5: Solve for x
    x = 26,815,241,625.19/256,649.24
  6. Step 6: Final answer
    x = 104,482.06

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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.