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Finding the Fourth Proportional to 339,381.36, 509,068.80 and 206,298.36

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Solution

The fourth proportional to 339,381.36, 509,068.80 and 206,298.36 is: 309,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,381.36 : 509,068.80 = 206,298.36 : x
  2. Step 2: Convert to fraction form
    339,381.36/509,068.80 = 206,298.36/x
  3. Step 3: Cross multiply
    339,381.36x = 509,068.80 × 206,298.36
  4. Step 4: Simplify right side
    339,381.36x = 105,020,058,567.17
  5. Step 5: Solve for x
    x = 105,020,058,567.17/339,381.36
  6. Step 6: Final answer
    x = 309,445.57

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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.