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Finding the Fourth Proportional to 471,418.76, 707,240.46 and 138,994.76

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Solution

The fourth proportional to 471,418.76, 707,240.46 and 138,994.76 is: 208,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,418.76 : 707,240.46 = 138,994.76 : x
  2. Step 2: Convert to fraction form
    471,418.76/707,240.46 = 138,994.76/x
  3. Step 3: Cross multiply
    471,418.76x = 707,240.46 × 138,994.76
  4. Step 4: Simplify right side
    471,418.76x = 98,302,717,999.99
  5. Step 5: Solve for x
    x = 98,302,717,999.99/471,418.76
  6. Step 6: Final answer
    x = 208,525.26

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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.