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Finding the Fourth Proportional to 538,143, 742,637.37 and 311,919.72

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Solution

The fourth proportional to 538,143, 742,637.37 and 311,919.72 is: 430,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,143 : 742,637.37 = 311,919.72 : x
  2. Step 2: Convert to fraction form
    538,143/742,637.37 = 311,919.72/x
  3. Step 3: Cross multiply
    538,143x = 742,637.37 × 311,919.72
  4. Step 4: Simplify right side
    538,143x = 231,643,240,511.94
  5. Step 5: Solve for x
    x = 231,643,240,511.94/538,143
  6. Step 6: Final answer
    x = 430,449.23

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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.