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Finding the Fourth Proportional to 339,434.96, 509,152.43 and 86,716

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Solution

The fourth proportional to 339,434.96, 509,152.43 and 86,716 is: 130,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,434.96 : 509,152.43 = 86,716 : x
  2. Step 2: Convert to fraction form
    339,434.96/509,152.43 = 86,716/x
  3. Step 3: Cross multiply
    339,434.96x = 509,152.43 × 86,716
  4. Step 4: Simplify right side
    339,434.96x = 44,151,662,119.88
  5. Step 5: Solve for x
    x = 44,151,662,119.88/339,434.96
  6. Step 6: Final answer
    x = 130,074.00

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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.