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Finding the Fourth Proportional to 305,549.96, 421,709.76 and 178,225.64

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Solution

The fourth proportional to 305,549.96, 421,709.76 and 178,225.64 is: 245,981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,549.96 : 421,709.76 = 178,225.64 : x
  2. Step 2: Convert to fraction form
    305,549.96/421,709.76 = 178,225.64/x
  3. Step 3: Cross multiply
    305,549.96x = 421,709.76 × 178,225.64
  4. Step 4: Simplify right side
    305,549.96x = 75,159,491,870.25
  5. Step 5: Solve for x
    x = 75,159,491,870.25/305,549.96
  6. Step 6: Final answer
    x = 245,981.02

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1.5x scale

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.