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Finding the Fourth Proportional to 375,134.56, 517,685.70 and 205,368.70

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Solution

The fourth proportional to 375,134.56, 517,685.70 and 205,368.70 is: 283,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,134.56 : 517,685.70 = 205,368.70 : x
  2. Step 2: Convert to fraction form
    375,134.56/517,685.70 = 205,368.70/x
  3. Step 3: Cross multiply
    375,134.56x = 517,685.70 × 205,368.70
  4. Step 4: Simplify right side
    375,134.56x = 106,316,439,217.59
  5. Step 5: Solve for x
    x = 106,316,439,217.59/375,134.56
  6. Step 6: Final answer
    x = 283,408.81

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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.