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Finding the Fourth Proportional to 511,433.52, 705,489.24 and 320,114.76

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Solution

The fourth proportional to 511,433.52, 705,489.24 and 320,114.76 is: 441,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,433.52 : 705,489.24 = 320,114.76 : x
  2. Step 2: Convert to fraction form
    511,433.52/705,489.24 = 320,114.76/x
  3. Step 3: Cross multiply
    511,433.52x = 705,489.24 × 320,114.76
  4. Step 4: Simplify right side
    511,433.52x = 225,837,518,745.18
  5. Step 5: Solve for x
    x = 225,837,518,745.18/511,433.52
  6. Step 6: Final answer
    x = 441,577.47

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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.