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Finding the Fourth Proportional to 354,543.24, 489,278.88 and 193,401

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Solution

The fourth proportional to 354,543.24, 489,278.88 and 193,401 is: 266,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,543.24 : 489,278.88 = 193,401 : x
  2. Step 2: Convert to fraction form
    354,543.24/489,278.88 = 193,401/x
  3. Step 3: Cross multiply
    354,543.24x = 489,278.88 × 193,401
  4. Step 4: Simplify right side
    354,543.24x = 94,627,024,670.88
  5. Step 5: Solve for x
    x = 94,627,024,670.88/354,543.24
  6. Step 6: Final answer
    x = 266,898.40

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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.