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Finding the Fourth Proportional to 546,930.45, 820,395.68 and 511,938.45

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Solution

The fourth proportional to 546,930.45, 820,395.68 and 511,938.45 is: 767,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,930.45 : 820,395.68 = 511,938.45 : x
  2. Step 2: Convert to fraction form
    546,930.45/820,395.68 = 511,938.45/x
  3. Step 3: Cross multiply
    546,930.45x = 820,395.68 × 511,938.45
  4. Step 4: Simplify right side
    546,930.45x = 419,992,090,246.20
  5. Step 5: Solve for x
    x = 419,992,090,246.20/546,930.45
  6. Step 6: Final answer
    x = 767,907.68

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1.5x scale

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.