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Finding the Fourth Proportional to 339,711.30, 509,565.13 and 86,991.30

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Solution

The fourth proportional to 339,711.30, 509,565.13 and 86,991.30 is: 130,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,711.30 : 509,565.13 = 86,991.30 : x
  2. Step 2: Convert to fraction form
    339,711.30/509,565.13 = 86,991.30/x
  3. Step 3: Cross multiply
    339,711.30x = 509,565.13 × 86,991.30
  4. Step 4: Simplify right side
    339,711.30x = 44,327,732,875.89
  5. Step 5: Solve for x
    x = 44,327,732,875.89/339,711.30
  6. Step 6: Final answer
    x = 130,486.48

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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.