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Finding the Fourth Proportional to 505,443, 758,208.24 and 131,466

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Solution

The fourth proportional to 505,443, 758,208.24 and 131,466 is: 197,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,443 : 758,208.24 = 131,466 : x
  2. Step 2: Convert to fraction form
    505,443/758,208.24 = 131,466/x
  3. Step 3: Cross multiply
    505,443x = 758,208.24 × 131,466
  4. Step 4: Simplify right side
    505,443x = 99,678,604,479.84
  5. Step 5: Solve for x
    x = 99,678,604,479.84/505,443
  6. Step 6: Final answer
    x = 197,210.38

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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.