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Finding the Fourth Proportional to 468,293.68, 645,806.61 and 310,851.07

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Solution

The fourth proportional to 468,293.68, 645,806.61 and 310,851.07 is: 428,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,293.68 : 645,806.61 = 310,851.07 : x
  2. Step 2: Convert to fraction form
    468,293.68/645,806.61 = 310,851.07/x
  3. Step 3: Cross multiply
    468,293.68x = 645,806.61 × 310,851.07
  4. Step 4: Simplify right side
    468,293.68x = 200,749,675,731.57
  5. Step 5: Solve for x
    x = 200,749,675,731.57/468,293.68
  6. Step 6: Final answer
    x = 428,683.29

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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.