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Finding the Fourth Proportional to 414,539.40, 621,809.10 and 315,006.60

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Solution

The fourth proportional to 414,539.40, 621,809.10 and 315,006.60 is: 472,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,539.40 : 621,809.10 = 315,006.60 : x
  2. Step 2: Convert to fraction form
    414,539.40/621,809.10 = 315,006.60/x
  3. Step 3: Cross multiply
    414,539.40x = 621,809.10 × 315,006.60
  4. Step 4: Simplify right side
    414,539.40x = 195,873,970,440.06
  5. Step 5: Solve for x
    x = 195,873,970,440.06/414,539.40
  6. Step 6: Final answer
    x = 472,509.90

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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.