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Finding the Fourth Proportional to 354,133.57, 488,704.42 and 192,988.66

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Solution

The fourth proportional to 354,133.57, 488,704.42 and 192,988.66 is: 266,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,133.57 : 488,704.42 = 192,988.66 : x
  2. Step 2: Convert to fraction form
    354,133.57/488,704.42 = 192,988.66/x
  3. Step 3: Cross multiply
    354,133.57x = 488,704.42 × 192,988.66
  4. Step 4: Simplify right side
    354,133.57x = 94,314,411,151.88
  5. Step 5: Solve for x
    x = 94,314,411,151.88/354,133.57
  6. Step 6: Final answer
    x = 266,324.40

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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.