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Finding the Fourth Proportional to 680,763.71, 1,021,256.38 and 201,040.03

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Solution

The fourth proportional to 680,763.71, 1,021,256.38 and 201,040.03 is: 301,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,763.71 : 1,021,256.38 = 201,040.03 : x
  2. Step 2: Convert to fraction form
    680,763.71/1,021,256.38 = 201,040.03/x
  3. Step 3: Cross multiply
    680,763.71x = 1,021,256.38 × 201,040.03
  4. Step 4: Simplify right side
    680,763.71x = 205,313,417,955.77
  5. Step 5: Solve for x
    x = 205,313,417,955.77/680,763.71
  6. Step 6: Final answer
    x = 301,592.78

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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.