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Finding the Fourth Proportional to 508,100.55, 761,486.42 and 208,230.04

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Solution

The fourth proportional to 508,100.55, 761,486.42 and 208,230.04 is: 312,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,100.55 : 761,486.42 = 208,230.04 : x
  2. Step 2: Convert to fraction form
    508,100.55/761,486.42 = 208,230.04/x
  3. Step 3: Cross multiply
    508,100.55x = 761,486.42 × 208,230.04
  4. Step 4: Simplify right side
    508,100.55x = 158,564,347,997.20
  5. Step 5: Solve for x
    x = 158,564,347,997.20/508,100.55
  6. Step 6: Final answer
    x = 312,072.78

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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.