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Finding the Fourth Proportional to 443,225, 665,209.44 and 230,123.72

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Solution

The fourth proportional to 443,225, 665,209.44 and 230,123.72 is: 345,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,225 : 665,209.44 = 230,123.72 : x
  2. Step 2: Convert to fraction form
    443,225/665,209.44 = 230,123.72/x
  3. Step 3: Cross multiply
    443,225x = 665,209.44 × 230,123.72
  4. Step 4: Simplify right side
    443,225x = 153,080,470,911.92
  5. Step 5: Solve for x
    x = 153,080,470,911.92/443,225
  6. Step 6: Final answer
    x = 345,378.69

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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.