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Finding the Fourth Proportional to 339,713.78, 509,582.19 and 90,396.02

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Solution

The fourth proportional to 339,713.78, 509,582.19 and 90,396.02 is: 135,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,713.78 : 509,582.19 = 90,396.02 : x
  2. Step 2: Convert to fraction form
    339,713.78/509,582.19 = 90,396.02/x
  3. Step 3: Cross multiply
    339,713.78x = 509,582.19 × 90,396.02
  4. Step 4: Simplify right side
    339,713.78x = 46,064,201,838.88
  5. Step 5: Solve for x
    x = 46,064,201,838.88/339,713.78
  6. Step 6: Final answer
    x = 135,597.10

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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.