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Finding the Fourth Proportional to 309,212.20, 463,280.70 and 142,658.60

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Solution

The fourth proportional to 309,212.20, 463,280.70 and 142,658.60 is: 213,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,212.20 : 463,280.70 = 142,658.60 : x
  2. Step 2: Convert to fraction form
    309,212.20/463,280.70 = 142,658.60/x
  3. Step 3: Cross multiply
    309,212.20x = 463,280.70 × 142,658.60
  4. Step 4: Simplify right side
    309,212.20x = 66,090,976,069.02
  5. Step 5: Solve for x
    x = 66,090,976,069.02/309,212.20
  6. Step 6: Final answer
    x = 213,739.87

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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.