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Finding the Fourth Proportional to 511,718.40, 706,155.84 and 285,402.24

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Solution

The fourth proportional to 511,718.40, 706,155.84 and 285,402.24 is: 393,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,718.40 : 706,155.84 = 285,402.24 : x
  2. Step 2: Convert to fraction form
    511,718.40/706,155.84 = 285,402.24/x
  3. Step 3: Cross multiply
    511,718.40x = 706,155.84 × 285,402.24
  4. Step 4: Simplify right side
    511,718.40x = 201,538,458,525.08
  5. Step 5: Solve for x
    x = 201,538,458,525.08/511,718.40
  6. Step 6: Final answer
    x = 393,846.42

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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.