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Finding the Fourth Proportional to 354,492.28, 489,204.66 and 193,346.74

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Solution

The fourth proportional to 354,492.28, 489,204.66 and 193,346.74 is: 266,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,492.28 : 489,204.66 = 193,346.74 : x
  2. Step 2: Convert to fraction form
    354,492.28/489,204.66 = 193,346.74/x
  3. Step 3: Cross multiply
    354,492.28x = 489,204.66 × 193,346.74
  4. Step 4: Simplify right side
    354,492.28x = 94,586,126,203.81
  5. Step 5: Solve for x
    x = 94,586,126,203.81/354,492.28
  6. Step 6: Final answer
    x = 266,821.40

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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.