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Finding the Fourth Proportional to 575,843.51, 863,765.10 and 309,237.28

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Solution

The fourth proportional to 575,843.51, 863,765.10 and 309,237.28 is: 463,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,843.51 : 863,765.10 = 309,237.28 : x
  2. Step 2: Convert to fraction form
    575,843.51/863,765.10 = 309,237.28/x
  3. Step 3: Cross multiply
    575,843.51x = 863,765.10 × 309,237.28
  4. Step 4: Simplify right side
    575,843.51x = 267,108,367,923.52
  5. Step 5: Solve for x
    x = 267,108,367,923.52/575,843.51
  6. Step 6: Final answer
    x = 463,855.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.