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Finding the Fourth Proportional to 346,596.82, 478,294.26 and 189,426.54

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Solution

The fourth proportional to 346,596.82, 478,294.26 and 189,426.54 is: 261,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,596.82 : 478,294.26 = 189,426.54 : x
  2. Step 2: Convert to fraction form
    346,596.82/478,294.26 = 189,426.54/x
  3. Step 3: Cross multiply
    346,596.82x = 478,294.26 × 189,426.54
  4. Step 4: Simplify right side
    346,596.82x = 90,601,626,773.66
  5. Step 5: Solve for x
    x = 90,601,626,773.66/346,596.82
  6. Step 6: Final answer
    x = 261,403.51

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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.