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Finding the Fourth Proportional to 806,208.40, 1,209,312.60 and 293,912

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Solution

The fourth proportional to 806,208.40, 1,209,312.60 and 293,912 is: 440,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,208.40 : 1,209,312.60 = 293,912 : x
  2. Step 2: Convert to fraction form
    806,208.40/1,209,312.60 = 293,912/x
  3. Step 3: Cross multiply
    806,208.40x = 1,209,312.60 × 293,912
  4. Step 4: Simplify right side
    806,208.40x = 355,431,484,891.20
  5. Step 5: Solve for x
    x = 355,431,484,891.20/806,208.40
  6. Step 6: Final answer
    x = 440,868

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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.