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Finding the Fourth Proportional to 414,000.60, 621,000.90 and 214,710.23

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Solution

The fourth proportional to 414,000.60, 621,000.90 and 214,710.23 is: 322,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,000.60 : 621,000.90 = 214,710.23 : x
  2. Step 2: Convert to fraction form
    414,000.60/621,000.90 = 214,710.23/x
  3. Step 3: Cross multiply
    414,000.60x = 621,000.90 × 214,710.23
  4. Step 4: Simplify right side
    414,000.60x = 133,335,242,964.20
  5. Step 5: Solve for x
    x = 133,335,242,964.20/414,000.60
  6. Step 6: Final answer
    x = 322,065.34

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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.