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Finding the Fourth Proportional to 522,405.40, 783,609 and 143,331.36

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Solution

The fourth proportional to 522,405.40, 783,609 and 143,331.36 is: 214,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,405.40 : 783,609 = 143,331.36 : x
  2. Step 2: Convert to fraction form
    522,405.40/783,609 = 143,331.36/x
  3. Step 3: Cross multiply
    522,405.40x = 783,609 × 143,331.36
  4. Step 4: Simplify right side
    522,405.40x = 112,315,743,678.24
  5. Step 5: Solve for x
    x = 112,315,743,678.24/522,405.40
  6. Step 6: Final answer
    x = 214,997.29

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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.