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Finding the Fourth Proportional to 375,106.54, 517,647.90 and 205,351.60

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Solution

The fourth proportional to 375,106.54, 517,647.90 and 205,351.60 is: 283,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,106.54 : 517,647.90 = 205,351.60 : x
  2. Step 2: Convert to fraction form
    375,106.54/517,647.90 = 205,351.60/x
  3. Step 3: Cross multiply
    375,106.54x = 517,647.90 × 205,351.60
  4. Step 4: Simplify right side
    375,106.54x = 106,299,824,501.64
  5. Step 5: Solve for x
    x = 106,299,824,501.64/375,106.54
  6. Step 6: Final answer
    x = 283,385.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.