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Finding the Fourth Proportional to 426,820.30, 640,230.45 and 214,243.90

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Solution

The fourth proportional to 426,820.30, 640,230.45 and 214,243.90 is: 321,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,820.30 : 640,230.45 = 214,243.90 : x
  2. Step 2: Convert to fraction form
    426,820.30/640,230.45 = 214,243.90/x
  3. Step 3: Cross multiply
    426,820.30x = 640,230.45 × 214,243.90
  4. Step 4: Simplify right side
    426,820.30x = 137,165,468,506.76
  5. Step 5: Solve for x
    x = 137,165,468,506.76/426,820.30
  6. Step 6: Final answer
    x = 321,365.85

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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.