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Finding the Fourth Proportional to 546,629.76, 820,197.72 and 209,557.68

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Solution

The fourth proportional to 546,629.76, 820,197.72 and 209,557.68 is: 314,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,629.76 : 820,197.72 = 209,557.68 : x
  2. Step 2: Convert to fraction form
    546,629.76/820,197.72 = 209,557.68/x
  3. Step 3: Cross multiply
    546,629.76x = 820,197.72 × 209,557.68
  4. Step 4: Simplify right side
    546,629.76x = 171,878,731,344.49
  5. Step 5: Solve for x
    x = 171,878,731,344.49/546,629.76
  6. Step 6: Final answer
    x = 314,433.54

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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.