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Finding the Fourth Proportional to 354,088.47, 488,642.19 and 192,943.56

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Solution

The fourth proportional to 354,088.47, 488,642.19 and 192,943.56 is: 266,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,088.47 : 488,642.19 = 192,943.56 : x
  2. Step 2: Convert to fraction form
    354,088.47/488,642.19 = 192,943.56/x
  3. Step 3: Cross multiply
    354,088.47x = 488,642.19 × 192,943.56
  4. Step 4: Simplify right side
    354,088.47x = 94,280,363,704.80
  5. Step 5: Solve for x
    x = 94,280,363,704.80/354,088.47
  6. Step 6: Final answer
    x = 266,262.17

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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.