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Finding the Fourth Proportional to 820,909.10, 1,232,347.80 and 461,366.30

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Solution

The fourth proportional to 820,909.10, 1,232,347.80 and 461,366.30 is: 692,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,909.10 : 1,232,347.80 = 461,366.30 : x
  2. Step 2: Convert to fraction form
    820,909.10/1,232,347.80 = 461,366.30/x
  3. Step 3: Cross multiply
    820,909.10x = 1,232,347.80 × 461,366.30
  4. Step 4: Simplify right side
    820,909.10x = 568,563,744,799.14
  5. Step 5: Solve for x
    x = 568,563,744,799.14/820,909.10
  6. Step 6: Final answer
    x = 692,602.56

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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.