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Finding the Fourth Proportional to 340,989.75, 470,727.25 and 197,697.51

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Solution

The fourth proportional to 340,989.75, 470,727.25 and 197,697.51 is: 272,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,989.75 : 470,727.25 = 197,697.51 : x
  2. Step 2: Convert to fraction form
    340,989.75/470,727.25 = 197,697.51/x
  3. Step 3: Cross multiply
    340,989.75x = 470,727.25 × 197,697.51
  4. Step 4: Simplify right side
    340,989.75x = 93,061,604,719.90
  5. Step 5: Solve for x
    x = 93,061,604,719.90/340,989.75
  6. Step 6: Final answer
    x = 272,916.14

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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.