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Finding the Fourth Proportional to 587,172.81, 810,010.53 and 509,539.49

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Solution

The fourth proportional to 587,172.81, 810,010.53 and 509,539.49 is: 702,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,172.81 : 810,010.53 = 509,539.49 : x
  2. Step 2: Convert to fraction form
    587,172.81/810,010.53 = 509,539.49/x
  3. Step 3: Cross multiply
    587,172.81x = 810,010.53 × 509,539.49
  4. Step 4: Simplify right side
    587,172.81x = 412,732,351,671.28
  5. Step 5: Solve for x
    x = 412,732,351,671.28/587,172.81
  6. Step 6: Final answer
    x = 702,914.62

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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.