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Finding the Fourth Proportional to 208,892.70, 313,339.05 and 120,419.10

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Solution

The fourth proportional to 208,892.70, 313,339.05 and 120,419.10 is: 180,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,892.70 : 313,339.05 = 120,419.10 : x
  2. Step 2: Convert to fraction form
    208,892.70/313,339.05 = 120,419.10/x
  3. Step 3: Cross multiply
    208,892.70x = 313,339.05 × 120,419.10
  4. Step 4: Simplify right side
    208,892.70x = 37,732,006,395.86
  5. Step 5: Solve for x
    x = 37,732,006,395.86/208,892.70
  6. Step 6: Final answer
    x = 180,628.65

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1.5x scale

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.