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Finding the Fourth Proportional to 339,484.70, 509,337.60 and 161,968.72

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Solution

The fourth proportional to 339,484.70, 509,337.60 and 161,968.72 is: 243,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,484.70 : 509,337.60 = 161,968.72 : x
  2. Step 2: Convert to fraction form
    339,484.70/509,337.60 = 161,968.72/x
  3. Step 3: Cross multiply
    339,484.70x = 509,337.60 × 161,968.72
  4. Step 4: Simplify right side
    339,484.70x = 82,496,759,119.87
  5. Step 5: Solve for x
    x = 82,496,759,119.87/339,484.70
  6. Step 6: Final answer
    x = 243,005.82

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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.