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Finding the Fourth Proportional to 298,492.32, 447,738 and 204,713.76

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Solution

The fourth proportional to 298,492.32, 447,738 and 204,713.76 is: 307,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,492.32 : 447,738 = 204,713.76 : x
  2. Step 2: Convert to fraction form
    298,492.32/447,738 = 204,713.76/x
  3. Step 3: Cross multiply
    298,492.32x = 447,738 × 204,713.76
  4. Step 4: Simplify right side
    298,492.32x = 91,658,129,474.88
  5. Step 5: Solve for x
    x = 91,658,129,474.88/298,492.32
  6. Step 6: Final answer
    x = 307,070.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.