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Finding the Fourth Proportional to 354,230.13, 488,834.91 and 193,084.68

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Solution

The fourth proportional to 354,230.13, 488,834.91 and 193,084.68 is: 266,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,230.13 : 488,834.91 = 193,084.68 : x
  2. Step 2: Convert to fraction form
    354,230.13/488,834.91 = 193,084.68/x
  3. Step 3: Cross multiply
    354,230.13x = 488,834.91 × 193,084.68
  4. Step 4: Simplify right side
    354,230.13x = 94,386,532,170.18
  5. Step 5: Solve for x
    x = 94,386,532,170.18/354,230.13
  6. Step 6: Final answer
    x = 266,455.40

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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.