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Finding the Fourth Proportional to 587,539.84, 810,816.96 and 319,285.12

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Solution

The fourth proportional to 587,539.84, 810,816.96 and 319,285.12 is: 440,619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,539.84 : 810,816.96 = 319,285.12 : x
  2. Step 2: Convert to fraction form
    587,539.84/810,816.96 = 319,285.12/x
  3. Step 3: Cross multiply
    587,539.84x = 810,816.96 × 319,285.12
  4. Step 4: Simplify right side
    587,539.84x = 258,881,790,371.64
  5. Step 5: Solve for x
    x = 258,881,790,371.64/587,539.84
  6. Step 6: Final answer
    x = 440,619.98

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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.