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Finding the Fourth Proportional to 497,725.20, 746,683.80 and 213,411.60

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Solution

The fourth proportional to 497,725.20, 746,683.80 and 213,411.60 is: 320,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,725.20 : 746,683.80 = 213,411.60 : x
  2. Step 2: Convert to fraction form
    497,725.20/746,683.80 = 213,411.60/x
  3. Step 3: Cross multiply
    497,725.20x = 746,683.80 × 213,411.60
  4. Step 4: Simplify right side
    497,725.20x = 159,350,984,452.08
  5. Step 5: Solve for x
    x = 159,350,984,452.08/497,725.20
  6. Step 6: Final answer
    x = 320,158.56

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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.