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Finding the Fourth Proportional to 379,794.42, 569,691.63 and 99,309.24

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Solution

The fourth proportional to 379,794.42, 569,691.63 and 99,309.24 is: 148,963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,794.42 : 569,691.63 = 99,309.24 : x
  2. Step 2: Convert to fraction form
    379,794.42/569,691.63 = 99,309.24/x
  3. Step 3: Cross multiply
    379,794.42x = 569,691.63 × 99,309.24
  4. Step 4: Simplify right side
    379,794.42x = 56,575,642,809.66
  5. Step 5: Solve for x
    x = 56,575,642,809.66/379,794.42
  6. Step 6: Final answer
    x = 148,963.86

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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.