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Finding the Fourth Proportional to 375,341.36, 517,963.56 and 205,574

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Solution

The fourth proportional to 375,341.36, 517,963.56 and 205,574 is: 283,688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,341.36 : 517,963.56 = 205,574 : x
  2. Step 2: Convert to fraction form
    375,341.36/517,963.56 = 205,574/x
  3. Step 3: Cross multiply
    375,341.36x = 517,963.56 × 205,574
  4. Step 4: Simplify right side
    375,341.36x = 106,479,840,883.44
  5. Step 5: Solve for x
    x = 106,479,840,883.44/375,341.36
  6. Step 6: Final answer
    x = 283,688.00

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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.