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Finding the Fourth Proportional to 443,780, 612,416.40 and 242,576

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Solution

The fourth proportional to 443,780, 612,416.40 and 242,576 is: 334,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,780 : 612,416.40 = 242,576 : x
  2. Step 2: Convert to fraction form
    443,780/612,416.40 = 242,576/x
  3. Step 3: Cross multiply
    443,780x = 612,416.40 × 242,576
  4. Step 4: Simplify right side
    443,780x = 148,557,520,646.40
  5. Step 5: Solve for x
    x = 148,557,520,646.40/443,780
  6. Step 6: Final answer
    x = 334,754.88

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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.