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Finding the Fourth Proportional to 546,639.30, 820,112.55 and 266,165.70

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Solution

The fourth proportional to 546,639.30, 820,112.55 and 266,165.70 is: 399,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,639.30 : 820,112.55 = 266,165.70 : x
  2. Step 2: Convert to fraction form
    546,639.30/820,112.55 = 266,165.70/x
  3. Step 3: Cross multiply
    546,639.30x = 820,112.55 × 266,165.70
  4. Step 4: Simplify right side
    546,639.30x = 218,285,830,949.54
  5. Step 5: Solve for x
    x = 218,285,830,949.54/546,639.30
  6. Step 6: Final answer
    x = 399,323.34

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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.