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Finding the Fourth Proportional to 654,453.40, 982,601.70 and 405,621.40

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Solution

The fourth proportional to 654,453.40, 982,601.70 and 405,621.40 is: 609,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,453.40 : 982,601.70 = 405,621.40 : x
  2. Step 2: Convert to fraction form
    654,453.40/982,601.70 = 405,621.40/x
  3. Step 3: Cross multiply
    654,453.40x = 982,601.70 × 405,621.40
  4. Step 4: Simplify right side
    654,453.40x = 398,564,277,196.38
  5. Step 5: Solve for x
    x = 398,564,277,196.38/654,453.40
  6. Step 6: Final answer
    x = 609,003.30

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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.