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Finding the Fourth Proportional to 614,789.85, 848,408.31 and 342,858.03

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Solution

The fourth proportional to 614,789.85, 848,408.31 and 342,858.03 is: 473,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,789.85 : 848,408.31 = 342,858.03 : x
  2. Step 2: Convert to fraction form
    614,789.85/848,408.31 = 342,858.03/x
  3. Step 3: Cross multiply
    614,789.85x = 848,408.31 × 342,858.03
  4. Step 4: Simplify right side
    614,789.85x = 290,883,601,802.23
  5. Step 5: Solve for x
    x = 290,883,601,802.23/614,789.85
  6. Step 6: Final answer
    x = 473,143.14

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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.