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Finding the Fourth Proportional to 375,432.46, 518,102.67 and 205,655.38

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Solution

The fourth proportional to 375,432.46, 518,102.67 and 205,655.38 is: 283,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,432.46 : 518,102.67 = 205,655.38 : x
  2. Step 2: Convert to fraction form
    375,432.46/518,102.67 = 205,655.38/x
  3. Step 3: Cross multiply
    375,432.46x = 518,102.67 × 205,655.38
  4. Step 4: Simplify right side
    375,432.46x = 106,550,601,477.87
  5. Step 5: Solve for x
    x = 106,550,601,477.87/375,432.46
  6. Step 6: Final answer
    x = 283,807.64

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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.