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Finding the Fourth Proportional to 511,357.20, 705,676.40 and 285,017.28

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Solution

The fourth proportional to 511,357.20, 705,676.40 and 285,017.28 is: 393,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,357.20 : 705,676.40 = 285,017.28 : x
  2. Step 2: Convert to fraction form
    511,357.20/705,676.40 = 285,017.28/x
  3. Step 3: Cross multiply
    511,357.20x = 705,676.40 × 285,017.28
  4. Step 4: Simplify right side
    511,357.20x = 201,129,968,088.19
  5. Step 5: Solve for x
    x = 201,129,968,088.19/511,357.20
  6. Step 6: Final answer
    x = 393,325.78

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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.