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Finding the Fourth Proportional to 208,428.16, 312,648 and 129,769.60

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Solution

The fourth proportional to 208,428.16, 312,648 and 129,769.60 is: 194,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,428.16 : 312,648 = 129,769.60 : x
  2. Step 2: Convert to fraction form
    208,428.16/312,648 = 129,769.60/x
  3. Step 3: Cross multiply
    208,428.16x = 312,648 × 129,769.60
  4. Step 4: Simplify right side
    208,428.16x = 40,572,205,900.80
  5. Step 5: Solve for x
    x = 40,572,205,900.80/208,428.16
  6. Step 6: Final answer
    x = 194,657.99

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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.