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Finding the Fourth Proportional to 392,616.62, 589,218.03 and 291,647.81

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Solution

The fourth proportional to 392,616.62, 589,218.03 and 291,647.81 is: 437,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,616.62 : 589,218.03 = 291,647.81 : x
  2. Step 2: Convert to fraction form
    392,616.62/589,218.03 = 291,647.81/x
  3. Step 3: Cross multiply
    392,616.62x = 589,218.03 × 291,647.81
  4. Step 4: Simplify right side
    392,616.62x = 171,844,146,220.71
  5. Step 5: Solve for x
    x = 171,844,146,220.71/392,616.62
  6. Step 6: Final answer
    x = 437,689.44

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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.