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Finding the Fourth Proportional to 680,242.70, 940,029.64 and 510,181.58

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Solution

The fourth proportional to 680,242.70, 940,029.64 and 510,181.58 is: 705,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,242.70 : 940,029.64 = 510,181.58 : x
  2. Step 2: Convert to fraction form
    680,242.70/940,029.64 = 510,181.58/x
  3. Step 3: Cross multiply
    680,242.70x = 940,029.64 × 510,181.58
  4. Step 4: Simplify right side
    680,242.70x = 479,585,806,982.03
  5. Step 5: Solve for x
    x = 479,585,806,982.03/680,242.70
  6. Step 6: Final answer
    x = 705,021.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.