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Finding the Fourth Proportional to 508,099.70, 761,485.15 and 208,229.20

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Solution

The fourth proportional to 508,099.70, 761,485.15 and 208,229.20 is: 312,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,099.70 : 761,485.15 = 208,229.20 : x
  2. Step 2: Convert to fraction form
    508,099.70/761,485.15 = 208,229.20/x
  3. Step 3: Cross multiply
    508,099.70x = 761,485.15 × 208,229.20
  4. Step 4: Simplify right side
    508,099.70x = 158,563,441,952.95
  5. Step 5: Solve for x
    x = 158,563,441,952.95/508,099.70
  6. Step 6: Final answer
    x = 312,071.51

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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.