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Finding the Fourth Proportional to 375,157.14, 517,718.37 and 205,407.06

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Solution

The fourth proportional to 375,157.14, 517,718.37 and 205,407.06 is: 283,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,157.14 : 517,718.37 = 205,407.06 : x
  2. Step 2: Convert to fraction form
    375,157.14/517,718.37 = 205,407.06/x
  3. Step 3: Cross multiply
    375,157.14x = 517,718.37 × 205,407.06
  4. Step 4: Simplify right side
    375,157.14x = 106,343,008,289.69
  5. Step 5: Solve for x
    x = 106,343,008,289.69/375,157.14
  6. Step 6: Final answer
    x = 283,462.57

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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.