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Finding the Fourth Proportional to 393,665.04, 590,352.37 and 140,877

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Solution

The fourth proportional to 393,665.04, 590,352.37 and 140,877 is: 211,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,665.04 : 590,352.37 = 140,877 : x
  2. Step 2: Convert to fraction form
    393,665.04/590,352.37 = 140,877/x
  3. Step 3: Cross multiply
    393,665.04x = 590,352.37 × 140,877
  4. Step 4: Simplify right side
    393,665.04x = 83,167,070,476.30
  5. Step 5: Solve for x
    x = 83,167,070,476.30/393,665.04
  6. Step 6: Final answer
    x = 211,263.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.