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Finding the Fourth Proportional to 390,156.40, 538,412.56 and 274,033.05

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Solution

The fourth proportional to 390,156.40, 538,412.56 and 274,033.05 is: 378,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,156.40 : 538,412.56 = 274,033.05 : x
  2. Step 2: Convert to fraction form
    390,156.40/538,412.56 = 274,033.05/x
  3. Step 3: Cross multiply
    390,156.40x = 538,412.56 × 274,033.05
  4. Step 4: Simplify right side
    390,156.40x = 147,542,835,975.11
  5. Step 5: Solve for x
    x = 147,542,835,975.11/390,156.40
  6. Step 6: Final answer
    x = 378,163.31

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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.