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Finding the Fourth Proportional to 511,381.17, 705,789.28 and 307,638.03

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Solution

The fourth proportional to 511,381.17, 705,789.28 and 307,638.03 is: 424,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,381.17 : 705,789.28 = 307,638.03 : x
  2. Step 2: Convert to fraction form
    511,381.17/705,789.28 = 307,638.03/x
  3. Step 3: Cross multiply
    511,381.17x = 705,789.28 × 307,638.03
  4. Step 4: Simplify right side
    511,381.17x = 217,127,623,694.32
  5. Step 5: Solve for x
    x = 217,127,623,694.32/511,381.17
  6. Step 6: Final answer
    x = 424,590.57

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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.