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Finding the Fourth Proportional to 471,483, 707,354.34 and 139,059

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Solution

The fourth proportional to 471,483, 707,354.34 and 139,059 is: 208,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,483 : 707,354.34 = 139,059 : x
  2. Step 2: Convert to fraction form
    471,483/707,354.34 = 139,059/x
  3. Step 3: Cross multiply
    471,483x = 707,354.34 × 139,059
  4. Step 4: Simplify right side
    471,483x = 98,363,987,166.06
  5. Step 5: Solve for x
    x = 98,363,987,166.06/471,483
  6. Step 6: Final answer
    x = 208,626.79

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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.