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Finding the Fourth Proportional to 587,464.56, 810,705.84 and 319,192.56

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Solution

The fourth proportional to 587,464.56, 810,705.84 and 319,192.56 is: 440,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,464.56 : 810,705.84 = 319,192.56 : x
  2. Step 2: Convert to fraction form
    587,464.56/810,705.84 = 319,192.56/x
  3. Step 3: Cross multiply
    587,464.56x = 810,705.84 × 319,192.56
  4. Step 4: Simplify right side
    587,464.56x = 258,771,272,476.55
  5. Step 5: Solve for x
    x = 258,771,272,476.55/587,464.56
  6. Step 6: Final answer
    x = 440,488.31

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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.