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Finding the Fourth Proportional to 443,823, 612,475.76 and 242,619

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Solution

The fourth proportional to 443,823, 612,475.76 and 242,619 is: 334,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,823 : 612,475.76 = 242,619 : x
  2. Step 2: Convert to fraction form
    443,823/612,475.76 = 242,619/x
  3. Step 3: Cross multiply
    443,823x = 612,475.76 × 242,619
  4. Step 4: Simplify right side
    443,823x = 148,598,256,415.44
  5. Step 5: Solve for x
    x = 148,598,256,415.44/443,823
  6. Step 6: Final answer
    x = 334,814.23

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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.