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Finding the Fourth Proportional to 485,813, 728,812.91 and 186,270.22

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Solution

The fourth proportional to 485,813, 728,812.91 and 186,270.22 is: 279,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,813 : 728,812.91 = 186,270.22 : x
  2. Step 2: Convert to fraction form
    485,813/728,812.91 = 186,270.22/x
  3. Step 3: Cross multiply
    485,813x = 728,812.91 × 186,270.22
  4. Step 4: Simplify right side
    485,813x = 135,756,136,509.13
  5. Step 5: Solve for x
    x = 135,756,136,509.13/485,813
  6. Step 6: Final answer
    x = 279,441.14

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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.