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Finding the Fourth Proportional to 443,846, 612,509.64 and 242,642

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Solution

The fourth proportional to 443,846, 612,509.64 and 242,642 is: 334,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,846 : 612,509.64 = 242,642 : x
  2. Step 2: Convert to fraction form
    443,846/612,509.64 = 242,642/x
  3. Step 3: Cross multiply
    443,846x = 612,509.64 × 242,642
  4. Step 4: Simplify right side
    443,846x = 148,620,564,068.88
  5. Step 5: Solve for x
    x = 148,620,564,068.88/443,846
  6. Step 6: Final answer
    x = 334,847.14

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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.