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Finding the Fourth Proportional to 366,478.19, 505,731.08 and 205,340.03

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Solution

The fourth proportional to 366,478.19, 505,731.08 and 205,340.03 is: 283,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,478.19 : 505,731.08 = 205,340.03 : x
  2. Step 2: Convert to fraction form
    366,478.19/505,731.08 = 205,340.03/x
  3. Step 3: Cross multiply
    366,478.19x = 505,731.08 × 205,340.03
  4. Step 4: Simplify right side
    366,478.19x = 103,846,833,123.83
  5. Step 5: Solve for x
    x = 103,846,833,123.83/366,478.19
  6. Step 6: Final answer
    x = 283,364.30

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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.