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Finding the Fourth Proportional to 508,100.45, 761,486.28 and 208,229.95

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Solution

The fourth proportional to 508,100.45, 761,486.28 and 208,229.95 is: 312,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,100.45 : 761,486.28 = 208,229.95 : x
  2. Step 2: Convert to fraction form
    508,100.45/761,486.28 = 208,229.95/x
  3. Step 3: Cross multiply
    508,100.45x = 761,486.28 × 208,229.95
  4. Step 4: Simplify right side
    508,100.45x = 158,564,247,325.51
  5. Step 5: Solve for x
    x = 158,564,247,325.51/508,100.45
  6. Step 6: Final answer
    x = 312,072.64

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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.