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Finding the Fourth Proportional to 313,728.72, 432,647.64 and 206,389.68

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Solution

The fourth proportional to 313,728.72, 432,647.64 and 206,389.68 is: 284,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,728.72 : 432,647.64 = 206,389.68 : x
  2. Step 2: Convert to fraction form
    313,728.72/432,647.64 = 206,389.68/x
  3. Step 3: Cross multiply
    313,728.72x = 432,647.64 × 206,389.68
  4. Step 4: Simplify right side
    313,728.72x = 89,294,007,972.36
  5. Step 5: Solve for x
    x = 89,294,007,972.36/313,728.72
  6. Step 6: Final answer
    x = 284,621.72

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1.5x scale

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.