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Finding the Fourth Proportional to 470,728.40, 649,753.80 and 300,963.20

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Solution

The fourth proportional to 470,728.40, 649,753.80 and 300,963.20 is: 415,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,728.40 : 649,753.80 = 300,963.20 : x
  2. Step 2: Convert to fraction form
    470,728.40/649,753.80 = 300,963.20/x
  3. Step 3: Cross multiply
    470,728.40x = 649,753.80 × 300,963.20
  4. Step 4: Simplify right side
    470,728.40x = 195,551,982,860.16
  5. Step 5: Solve for x
    x = 195,551,982,860.16/470,728.40
  6. Step 6: Final answer
    x = 415,424.23

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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.