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Finding the Fourth Proportional to 508,100.70, 761,486.65 and 208,230.20

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Solution

The fourth proportional to 508,100.70, 761,486.65 and 208,230.20 is: 312,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,100.70 : 761,486.65 = 208,230.20 : x
  2. Step 2: Convert to fraction form
    508,100.70/761,486.65 = 208,230.20/x
  3. Step 3: Cross multiply
    508,100.70x = 761,486.65 × 208,230.20
  4. Step 4: Simplify right side
    508,100.70x = 158,564,517,426.83
  5. Step 5: Solve for x
    x = 158,564,517,426.83/508,100.70
  6. Step 6: Final answer
    x = 312,073.02

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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.