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Finding the Fourth Proportional to 505,185, 758,100.15 and 238,961.22

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Solution

The fourth proportional to 505,185, 758,100.15 and 238,961.22 is: 358,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,185 : 758,100.15 = 238,961.22 : x
  2. Step 2: Convert to fraction form
    505,185/758,100.15 = 238,961.22/x
  3. Step 3: Cross multiply
    505,185x = 758,100.15 × 238,961.22
  4. Step 4: Simplify right side
    505,185x = 181,156,536,726.18
  5. Step 5: Solve for x
    x = 181,156,536,726.18/505,185
  6. Step 6: Final answer
    x = 358,594.45

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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.