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Finding the Fourth Proportional to 511,945.96, 706,156.50 and 310,741.96

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Solution

The fourth proportional to 511,945.96, 706,156.50 and 310,741.96 is: 428,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,945.96 : 706,156.50 = 310,741.96 : x
  2. Step 2: Convert to fraction form
    511,945.96/706,156.50 = 310,741.96/x
  3. Step 3: Cross multiply
    511,945.96x = 706,156.50 × 310,741.96
  4. Step 4: Simplify right side
    511,945.96x = 219,432,454,876.74
  5. Step 5: Solve for x
    x = 219,432,454,876.74/511,945.96
  6. Step 6: Final answer
    x = 428,624.25

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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.