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Finding the Fourth Proportional to 470,685.20, 649,549.52 and 255,825.20

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Solution

The fourth proportional to 470,685.20, 649,549.52 and 255,825.20 is: 353,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,685.20 : 649,549.52 = 255,825.20 : x
  2. Step 2: Convert to fraction form
    470,685.20/649,549.52 = 255,825.20/x
  3. Step 3: Cross multiply
    470,685.20x = 649,549.52 × 255,825.20
  4. Step 4: Simplify right side
    470,685.20x = 166,171,135,863.90
  5. Step 5: Solve for x
    x = 166,171,135,863.90/470,685.20
  6. Step 6: Final answer
    x = 353,040.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.