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Finding the Fourth Proportional to 299,051.90, 448,208.47 and 256,633.82

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Solution

The fourth proportional to 299,051.90, 448,208.47 and 256,633.82 is: 384,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,051.90 : 448,208.47 = 256,633.82 : x
  2. Step 2: Convert to fraction form
    299,051.90/448,208.47 = 256,633.82/x
  3. Step 3: Cross multiply
    299,051.90x = 448,208.47 × 256,633.82
  4. Step 4: Simplify right side
    299,051.90x = 115,025,448,288.24
  5. Step 5: Solve for x
    x = 115,025,448,288.24/299,051.90
  6. Step 6: Final answer
    x = 384,633.74

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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.