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Finding the Fourth Proportional to 511,005.42, 705,203.48 and 293,253.94

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Solution

The fourth proportional to 511,005.42, 705,203.48 and 293,253.94 is: 404,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,005.42 : 705,203.48 = 293,253.94 : x
  2. Step 2: Convert to fraction form
    511,005.42/705,203.48 = 293,253.94/x
  3. Step 3: Cross multiply
    511,005.42x = 705,203.48 × 293,253.94
  4. Step 4: Simplify right side
    511,005.42x = 206,803,699,011.71
  5. Step 5: Solve for x
    x = 206,803,699,011.71/511,005.42
  6. Step 6: Final answer
    x = 404,699.62

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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.