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Finding the Fourth Proportional to 804,288.80, 1,206,346.80 and 213,312.80

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Solution

The fourth proportional to 804,288.80, 1,206,346.80 and 213,312.80 is: 319,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,288.80 : 1,206,346.80 = 213,312.80 : x
  2. Step 2: Convert to fraction form
    804,288.80/1,206,346.80 = 213,312.80/x
  3. Step 3: Cross multiply
    804,288.80x = 1,206,346.80 × 213,312.80
  4. Step 4: Simplify right side
    804,288.80x = 257,329,213,679.04
  5. Step 5: Solve for x
    x = 257,329,213,679.04/804,288.80
  6. Step 6: Final answer
    x = 319,946.29

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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.