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Finding the Fourth Proportional to 346,138.84, 477,677.82 and 203,002.12

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Solution

The fourth proportional to 346,138.84, 477,677.82 and 203,002.12 is: 280,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,138.84 : 477,677.82 = 203,002.12 : x
  2. Step 2: Convert to fraction form
    346,138.84/477,677.82 = 203,002.12/x
  3. Step 3: Cross multiply
    346,138.84x = 477,677.82 × 203,002.12
  4. Step 4: Simplify right side
    346,138.84x = 96,969,610,136.98
  5. Step 5: Solve for x
    x = 96,969,610,136.98/346,138.84
  6. Step 6: Final answer
    x = 280,146.57

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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.