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Finding the Fourth Proportional to 381,686.40, 571,838.40 and 322,243.20

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Solution

The fourth proportional to 381,686.40, 571,838.40 and 322,243.20 is: 482,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,686.40 : 571,838.40 = 322,243.20 : x
  2. Step 2: Convert to fraction form
    381,686.40/571,838.40 = 322,243.20/x
  3. Step 3: Cross multiply
    381,686.40x = 571,838.40 × 322,243.20
  4. Step 4: Simplify right side
    381,686.40x = 184,271,035,898.88
  5. Step 5: Solve for x
    x = 184,271,035,898.88/381,686.40
  6. Step 6: Final answer
    x = 482,781.25

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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.