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Finding the Fourth Proportional to 375,123.76, 517,671.18 and 205,358.28

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Solution

The fourth proportional to 375,123.76, 517,671.18 and 205,358.28 is: 283,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,123.76 : 517,671.18 = 205,358.28 : x
  2. Step 2: Convert to fraction form
    375,123.76/517,671.18 = 205,358.28/x
  3. Step 3: Cross multiply
    375,123.76x = 517,671.18 × 205,358.28
  4. Step 4: Simplify right side
    375,123.76x = 106,308,063,130.37
  5. Step 5: Solve for x
    x = 106,308,063,130.37/375,123.76
  6. Step 6: Final answer
    x = 283,394.64

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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.