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Finding the Fourth Proportional to 390,371.94, 538,708.86 and 211,523.94

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Solution

The fourth proportional to 390,371.94, 538,708.86 and 211,523.94 is: 291,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,371.94 : 538,708.86 = 211,523.94 : x
  2. Step 2: Convert to fraction form
    390,371.94/538,708.86 = 211,523.94/x
  3. Step 3: Cross multiply
    390,371.94x = 538,708.86 × 211,523.94
  4. Step 4: Simplify right side
    390,371.94x = 113,949,820,580.11
  5. Step 5: Solve for x
    x = 113,949,820,580.11/390,371.94
  6. Step 6: Final answer
    x = 291,900.64

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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.