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Finding the Fourth Proportional to 208,853.70, 313,280.55 and 120,380.10

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Solution

The fourth proportional to 208,853.70, 313,280.55 and 120,380.10 is: 180,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,853.70 : 313,280.55 = 120,380.10 : x
  2. Step 2: Convert to fraction form
    208,853.70/313,280.55 = 120,380.10/x
  3. Step 3: Cross multiply
    208,853.70x = 313,280.55 × 120,380.10
  4. Step 4: Simplify right side
    208,853.70x = 37,712,743,937.06
  5. Step 5: Solve for x
    x = 37,712,743,937.06/208,853.70
  6. Step 6: Final answer
    x = 180,570.15

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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.