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Finding the Fourth Proportional to 392,603.47, 589,198.32 and 291,634.67

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Solution

The fourth proportional to 392,603.47, 589,198.32 and 291,634.67 is: 437,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,603.47 : 589,198.32 = 291,634.67 : x
  2. Step 2: Convert to fraction form
    392,603.47/589,198.32 = 291,634.67/x
  3. Step 3: Cross multiply
    392,603.47x = 589,198.32 × 291,634.67
  4. Step 4: Simplify right side
    392,603.47x = 171,830,659,090.75
  5. Step 5: Solve for x
    x = 171,830,659,090.75/392,603.47
  6. Step 6: Final answer
    x = 437,669.74

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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.