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Finding the Fourth Proportional to 375,415.54, 517,946.64 and 214,157.11

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Solution

The fourth proportional to 375,415.54, 517,946.64 and 214,157.11 is: 295,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,415.54 : 517,946.64 = 214,157.11 : x
  2. Step 2: Convert to fraction form
    375,415.54/517,946.64 = 214,157.11/x
  3. Step 3: Cross multiply
    375,415.54x = 517,946.64 × 214,157.11
  4. Step 4: Simplify right side
    375,415.54x = 110,921,955,556.61
  5. Step 5: Solve for x
    x = 110,921,955,556.61/375,415.54
  6. Step 6: Final answer
    x = 295,464.48

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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.