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Finding the Fourth Proportional to 806,436.40, 1,209,800.40 and 406,069.60

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Solution

The fourth proportional to 806,436.40, 1,209,800.40 and 406,069.60 is: 609,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,436.40 : 1,209,800.40 = 406,069.60 : x
  2. Step 2: Convert to fraction form
    806,436.40/1,209,800.40 = 406,069.60/x
  3. Step 3: Cross multiply
    806,436.40x = 1,209,800.40 × 406,069.60
  4. Step 4: Simplify right side
    806,436.40x = 491,263,164,507.84
  5. Step 5: Solve for x
    x = 491,263,164,507.84/806,436.40
  6. Step 6: Final answer
    x = 609,177.82

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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.