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Finding the Fourth Proportional to 524,650, 724,017 and 286,186

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Solution

The fourth proportional to 524,650, 724,017 and 286,186 is: 394,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,650 : 724,017 = 286,186 : x
  2. Step 2: Convert to fraction form
    524,650/724,017 = 286,186/x
  3. Step 3: Cross multiply
    524,650x = 724,017 × 286,186
  4. Step 4: Simplify right side
    524,650x = 207,203,529,162
  5. Step 5: Solve for x
    x = 207,203,529,162/524,650
  6. Step 6: Final answer
    x = 394,936.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.