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Finding the Fourth Proportional to 366,646.80, 505,964.16 and 213,675.24

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Solution

The fourth proportional to 366,646.80, 505,964.16 and 213,675.24 is: 294,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,646.80 : 505,964.16 = 213,675.24 : x
  2. Step 2: Convert to fraction form
    366,646.80/505,964.16 = 213,675.24/x
  3. Step 3: Cross multiply
    366,646.80x = 505,964.16 × 213,675.24
  4. Step 4: Simplify right side
    366,646.80x = 108,112,013,319.40
  5. Step 5: Solve for x
    x = 108,112,013,319.40/366,646.80
  6. Step 6: Final answer
    x = 294,866.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.