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Finding the Fourth Proportional to 680,243.70, 940,031.01 and 510,182.58

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Solution

The fourth proportional to 680,243.70, 940,031.01 and 510,182.58 is: 705,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,243.70 : 940,031.01 = 510,182.58 : x
  2. Step 2: Convert to fraction form
    680,243.70/940,031.01 = 510,182.58/x
  3. Step 3: Cross multiply
    680,243.70x = 940,031.01 × 510,182.58
  4. Step 4: Simplify right side
    680,243.70x = 479,587,445,961.81
  5. Step 5: Solve for x
    x = 479,587,445,961.81/680,243.70
  6. Step 6: Final answer
    x = 705,022.99

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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.