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Finding the Fourth Proportional to 349,218, 481,898.16 and 205,945.20

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Solution

The fourth proportional to 349,218, 481,898.16 and 205,945.20 is: 284,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,218 : 481,898.16 = 205,945.20 : x
  2. Step 2: Convert to fraction form
    349,218/481,898.16 = 205,945.20/x
  3. Step 3: Cross multiply
    349,218x = 481,898.16 × 205,945.20
  4. Step 4: Simplify right side
    349,218x = 99,244,612,940.83
  5. Step 5: Solve for x
    x = 99,244,612,940.83/349,218
  6. Step 6: Final answer
    x = 284,191.00

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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.