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Finding the Fourth Proportional to 279,642.16, 385,912.11 and 152,317.45

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Solution

The fourth proportional to 279,642.16, 385,912.11 and 152,317.45 is: 210,201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,642.16 : 385,912.11 = 152,317.45 : x
  2. Step 2: Convert to fraction form
    279,642.16/385,912.11 = 152,317.45/x
  3. Step 3: Cross multiply
    279,642.16x = 385,912.11 × 152,317.45
  4. Step 4: Simplify right side
    279,642.16x = 58,781,148,519.32
  5. Step 5: Solve for x
    x = 58,781,148,519.32/279,642.16
  6. Step 6: Final answer
    x = 210,201.31

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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.