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Finding the Fourth Proportional to 511,640.40, 706,048.20 and 285,324.24

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Solution

The fourth proportional to 511,640.40, 706,048.20 and 285,324.24 is: 393,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,640.40 : 706,048.20 = 285,324.24 : x
  2. Step 2: Convert to fraction form
    511,640.40/706,048.20 = 285,324.24/x
  3. Step 3: Cross multiply
    511,640.40x = 706,048.20 × 285,324.24
  4. Step 4: Simplify right side
    511,640.40x = 201,452,666,068.37
  5. Step 5: Solve for x
    x = 201,452,666,068.37/511,640.40
  6. Step 6: Final answer
    x = 393,738.78

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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.