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Finding the Fourth Proportional to 511,595.76, 706,002.16 and 285,241.28

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Solution

The fourth proportional to 511,595.76, 706,002.16 and 285,241.28 is: 393,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,595.76 : 706,002.16 = 285,241.28 : x
  2. Step 2: Convert to fraction form
    511,595.76/706,002.16 = 285,241.28/x
  3. Step 3: Cross multiply
    511,595.76x = 706,002.16 × 285,241.28
  4. Step 4: Simplify right side
    511,595.76x = 201,380,959,801.17
  5. Step 5: Solve for x
    x = 201,380,959,801.17/511,595.76
  6. Step 6: Final answer
    x = 393,632.97

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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.