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Finding the Fourth Proportional to 208,893.70, 313,340.55 and 120,420.10

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Solution

The fourth proportional to 208,893.70, 313,340.55 and 120,420.10 is: 180,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,893.70 : 313,340.55 = 120,420.10 : x
  2. Step 2: Convert to fraction form
    208,893.70/313,340.55 = 120,420.10/x
  3. Step 3: Cross multiply
    208,893.70x = 313,340.55 × 120,420.10
  4. Step 4: Simplify right side
    208,893.70x = 37,732,500,365.06
  5. Step 5: Solve for x
    x = 37,732,500,365.06/208,893.70
  6. Step 6: Final answer
    x = 180,630.15

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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.