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Finding the Fourth Proportional to 614,635.86, 848,135.40 and 342,678.22

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Solution

The fourth proportional to 614,635.86, 848,135.40 and 342,678.22 is: 472,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,635.86 : 848,135.40 = 342,678.22 : x
  2. Step 2: Convert to fraction form
    614,635.86/848,135.40 = 342,678.22/x
  3. Step 3: Cross multiply
    614,635.86x = 848,135.40 × 342,678.22
  4. Step 4: Simplify right side
    614,635.86x = 290,637,529,190.99
  5. Step 5: Solve for x
    x = 290,637,529,190.99/614,635.86
  6. Step 6: Final answer
    x = 472,861.33

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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.