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Finding the Fourth Proportional to 508,852.42, 702,184.90 and 279,408.80

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Solution

The fourth proportional to 508,852.42, 702,184.90 and 279,408.80 is: 385,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,852.42 : 702,184.90 = 279,408.80 : x
  2. Step 2: Convert to fraction form
    508,852.42/702,184.90 = 279,408.80/x
  3. Step 3: Cross multiply
    508,852.42x = 702,184.90 × 279,408.80
  4. Step 4: Simplify right side
    508,852.42x = 196,196,640,287.12
  5. Step 5: Solve for x
    x = 196,196,640,287.12/508,852.42
  6. Step 6: Final answer
    x = 385,566.88

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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.