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Finding the Fourth Proportional to 414,326.80, 621,830.40 and 214,708.24

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Solution

The fourth proportional to 414,326.80, 621,830.40 and 214,708.24 is: 322,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,326.80 : 621,830.40 = 214,708.24 : x
  2. Step 2: Convert to fraction form
    414,326.80/621,830.40 = 214,708.24/x
  3. Step 3: Cross multiply
    414,326.80x = 621,830.40 × 214,708.24
  4. Step 4: Simplify right side
    414,326.80x = 133,512,110,762.50
  5. Step 5: Solve for x
    x = 133,512,110,762.50/414,326.80
  6. Step 6: Final answer
    x = 322,238.66

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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.