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Finding the Fourth Proportional to 298,515.07, 411,817.53 and 201,687.67

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Solution

The fourth proportional to 298,515.07, 411,817.53 and 201,687.67 is: 278,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,515.07 : 411,817.53 = 201,687.67 : x
  2. Step 2: Convert to fraction form
    298,515.07/411,817.53 = 201,687.67/x
  3. Step 3: Cross multiply
    298,515.07x = 411,817.53 × 201,687.67
  4. Step 4: Simplify right side
    298,515.07x = 83,058,518,090.86
  5. Step 5: Solve for x
    x = 83,058,518,090.86/298,515.07
  6. Step 6: Final answer
    x = 278,238.94

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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.