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Finding the Fourth Proportional to 587,537.84, 810,814.20 and 319,283.12

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Solution

The fourth proportional to 587,537.84, 810,814.20 and 319,283.12 is: 440,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,537.84 : 810,814.20 = 319,283.12 : x
  2. Step 2: Convert to fraction form
    587,537.84/810,814.20 = 319,283.12/x
  3. Step 3: Cross multiply
    587,537.84x = 810,814.20 × 319,283.12
  4. Step 4: Simplify right side
    587,537.84x = 258,879,287,516.30
  5. Step 5: Solve for x
    x = 258,879,287,516.30/587,537.84
  6. Step 6: Final answer
    x = 440,617.22

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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.