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Finding the Fourth Proportional to 537,991.77, 742,205.78 and 320,156.79

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Solution

The fourth proportional to 537,991.77, 742,205.78 and 320,156.79 is: 441,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,991.77 : 742,205.78 = 320,156.79 : x
  2. Step 2: Convert to fraction form
    537,991.77/742,205.78 = 320,156.79/x
  3. Step 3: Cross multiply
    537,991.77x = 742,205.78 × 320,156.79
  4. Step 4: Simplify right side
    537,991.77x = 237,622,218,661.66
  5. Step 5: Solve for x
    x = 237,622,218,661.66/537,991.77
  6. Step 6: Final answer
    x = 441,683.74

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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.