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Finding the Fourth Proportional to 978,541.60, 1,467,812.40 and 313,760.80

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Solution

The fourth proportional to 978,541.60, 1,467,812.40 and 313,760.80 is: 470,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,541.60 : 1,467,812.40 = 313,760.80 : x
  2. Step 2: Convert to fraction form
    978,541.60/1,467,812.40 = 313,760.80/x
  3. Step 3: Cross multiply
    978,541.60x = 1,467,812.40 × 313,760.80
  4. Step 4: Simplify right side
    978,541.60x = 460,541,992,873.92
  5. Step 5: Solve for x
    x = 460,541,992,873.92/978,541.60
  6. Step 6: Final answer
    x = 470,641.20

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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.