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Finding the Fourth Proportional to 213,859.20, 320,443.20 and 201,417.60

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Solution

The fourth proportional to 213,859.20, 320,443.20 and 201,417.60 is: 301,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,859.20 : 320,443.20 = 201,417.60 : x
  2. Step 2: Convert to fraction form
    213,859.20/320,443.20 = 201,417.60/x
  3. Step 3: Cross multiply
    213,859.20x = 320,443.20 × 201,417.60
  4. Step 4: Simplify right side
    213,859.20x = 64,542,900,280.32
  5. Step 5: Solve for x
    x = 64,542,900,280.32/213,859.20
  6. Step 6: Final answer
    x = 301,800.91

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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.