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Finding the Fourth Proportional to 511,944.96, 706,155.12 and 310,740.96

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Solution

The fourth proportional to 511,944.96, 706,155.12 and 310,740.96 is: 428,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,944.96 : 706,155.12 = 310,740.96 : x
  2. Step 2: Convert to fraction form
    511,944.96/706,155.12 = 310,740.96/x
  3. Step 3: Cross multiply
    511,944.96x = 706,155.12 × 310,740.96
  4. Step 4: Simplify right side
    511,944.96x = 219,431,319,897.72
  5. Step 5: Solve for x
    x = 219,431,319,897.72/511,944.96
  6. Step 6: Final answer
    x = 428,622.87

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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.