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Finding the Fourth Proportional to 522,564.36, 783,762.64 and 143,396.54

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Solution

The fourth proportional to 522,564.36, 783,762.64 and 143,396.54 is: 215,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,564.36 : 783,762.64 = 143,396.54 : x
  2. Step 2: Convert to fraction form
    522,564.36/783,762.64 = 143,396.54/x
  3. Step 3: Cross multiply
    522,564.36x = 783,762.64 × 143,396.54
  4. Step 4: Simplify right side
    522,564.36x = 112,388,851,999.69
  5. Step 5: Solve for x
    x = 112,388,851,999.69/522,564.36
  6. Step 6: Final answer
    x = 215,071.79

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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.