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Finding the Fourth Proportional to 278,205.10, 417,745.05 and 160,107.10

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Solution

The fourth proportional to 278,205.10, 417,745.05 and 160,107.10 is: 240,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,205.10 : 417,745.05 = 160,107.10 : x
  2. Step 2: Convert to fraction form
    278,205.10/417,745.05 = 160,107.10/x
  3. Step 3: Cross multiply
    278,205.10x = 417,745.05 × 160,107.10
  4. Step 4: Simplify right side
    278,205.10x = 66,883,948,494.86
  5. Step 5: Solve for x
    x = 66,883,948,494.86/278,205.10
  6. Step 6: Final answer
    x = 240,412.37

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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.