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Finding the Fourth Proportional to 279,456, 385,648.64 and 152,132.48

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Solution

The fourth proportional to 279,456, 385,648.64 and 152,132.48 is: 209,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,456 : 385,648.64 = 152,132.48 : x
  2. Step 2: Convert to fraction form
    279,456/385,648.64 = 152,132.48/x
  3. Step 3: Cross multiply
    279,456x = 385,648.64 × 152,132.48
  4. Step 4: Simplify right side
    279,456x = 58,669,684,011.83
  5. Step 5: Solve for x
    x = 58,669,684,011.83/279,456
  6. Step 6: Final answer
    x = 209,942.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.