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Finding the Fourth Proportional to 340,200.13, 510,615.43 and 171,838.47

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Solution

The fourth proportional to 340,200.13, 510,615.43 and 171,838.47 is: 257,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,200.13 : 510,615.43 = 171,838.47 : x
  2. Step 2: Convert to fraction form
    340,200.13/510,615.43 = 171,838.47/x
  3. Step 3: Cross multiply
    340,200.13x = 510,615.43 × 171,838.47
  4. Step 4: Simplify right side
    340,200.13x = 87,743,374,249.59
  5. Step 5: Solve for x
    x = 87,743,374,249.59/340,200.13
  6. Step 6: Final answer
    x = 257,916.93

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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.