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Finding the Fourth Proportional to 339,783.92, 509,678.89 and 103,126.55

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Solution

The fourth proportional to 339,783.92, 509,678.89 and 103,126.55 is: 154,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,783.92 : 509,678.89 = 103,126.55 : x
  2. Step 2: Convert to fraction form
    339,783.92/509,678.89 = 103,126.55/x
  3. Step 3: Cross multiply
    339,783.92x = 509,678.89 × 103,126.55
  4. Step 4: Simplify right side
    339,783.92x = 52,561,426,549.91
  5. Step 5: Solve for x
    x = 52,561,426,549.91/339,783.92
  6. Step 6: Final answer
    x = 154,690.74

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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.