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Finding the Fourth Proportional to 408,019.20, 612,489.60 and 314,937.60

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Solution

The fourth proportional to 408,019.20, 612,489.60 and 314,937.60 is: 472,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,019.20 : 612,489.60 = 314,937.60 : x
  2. Step 2: Convert to fraction form
    408,019.20/612,489.60 = 314,937.60/x
  3. Step 3: Cross multiply
    408,019.20x = 612,489.60 × 314,937.60
  4. Step 4: Simplify right side
    408,019.20x = 192,896,004,648.96
  5. Step 5: Solve for x
    x = 192,896,004,648.96/408,019.20
  6. Step 6: Final answer
    x = 472,762.08

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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.