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Finding the Fourth Proportional to 511,505.88, 705,938.05 and 307,659.25

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Solution

The fourth proportional to 511,505.88, 705,938.05 and 307,659.25 is: 424,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,505.88 : 705,938.05 = 307,659.25 : x
  2. Step 2: Convert to fraction form
    511,505.88/705,938.05 = 307,659.25/x
  3. Step 3: Cross multiply
    511,505.88x = 705,938.05 × 307,659.25
  4. Step 4: Simplify right side
    511,505.88x = 217,188,372,276.46
  5. Step 5: Solve for x
    x = 217,188,372,276.46/511,505.88
  6. Step 6: Final answer
    x = 424,605.82

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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.