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Finding the Fourth Proportional to 340,102.89, 510,351.47 and 171,636.39

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Solution

The fourth proportional to 340,102.89, 510,351.47 and 171,636.39 is: 257,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,102.89 : 510,351.47 = 171,636.39 : x
  2. Step 2: Convert to fraction form
    340,102.89/510,351.47 = 171,636.39/x
  3. Step 3: Cross multiply
    340,102.89x = 510,351.47 × 171,636.39
  4. Step 4: Simplify right side
    340,102.89x = 87,594,883,941.99
  5. Step 5: Solve for x
    x = 87,594,883,941.99/340,102.89
  6. Step 6: Final answer
    x = 257,554.07

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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.