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Finding the Fourth Proportional to 618,427.14, 853,414.58 and 346,506.50

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Solution

The fourth proportional to 618,427.14, 853,414.58 and 346,506.50 is: 478,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,427.14 : 853,414.58 = 346,506.50 : x
  2. Step 2: Convert to fraction form
    618,427.14/853,414.58 = 346,506.50/x
  3. Step 3: Cross multiply
    618,427.14x = 853,414.58 × 346,506.50
  4. Step 4: Simplify right side
    618,427.14x = 295,713,693,165.17
  5. Step 5: Solve for x
    x = 295,713,693,165.17/618,427.14
  6. Step 6: Final answer
    x = 478,170.63

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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.