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Finding the Fourth Proportional to 414,433.64, 620,313.42 and 214,479.20

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Solution

The fourth proportional to 414,433.64, 620,313.42 and 214,479.20 is: 321,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,433.64 : 620,313.42 = 214,479.20 : x
  2. Step 2: Convert to fraction form
    414,433.64/620,313.42 = 214,479.20/x
  3. Step 3: Cross multiply
    414,433.64x = 620,313.42 × 214,479.20
  4. Step 4: Simplify right side
    414,433.64x = 133,044,326,070.86
  5. Step 5: Solve for x
    x = 133,044,326,070.86/414,433.64
  6. Step 6: Final answer
    x = 321,026.85

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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.