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Finding the Fourth Proportional to 820,907.10, 1,232,344.80 and 461,364.30

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Solution

The fourth proportional to 820,907.10, 1,232,344.80 and 461,364.30 is: 692,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,907.10 : 1,232,344.80 = 461,364.30 : x
  2. Step 2: Convert to fraction form
    820,907.10/1,232,344.80 = 461,364.30/x
  3. Step 3: Cross multiply
    820,907.10x = 1,232,344.80 × 461,364.30
  4. Step 4: Simplify right side
    820,907.10x = 568,559,896,010.64
  5. Step 5: Solve for x
    x = 568,559,896,010.64/820,907.10
  6. Step 6: Final answer
    x = 692,599.56

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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.