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Finding the Fourth Proportional to 421,478.39, 581,693.44 and 276,406.24

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Solution

The fourth proportional to 421,478.39, 581,693.44 and 276,406.24 is: 381,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,478.39 : 581,693.44 = 276,406.24 : x
  2. Step 2: Convert to fraction form
    421,478.39/581,693.44 = 276,406.24/x
  3. Step 3: Cross multiply
    421,478.39x = 581,693.44 × 276,406.24
  4. Step 4: Simplify right side
    421,478.39x = 160,783,696,583.07
  5. Step 5: Solve for x
    x = 160,783,696,583.07/421,478.39
  6. Step 6: Final answer
    x = 381,475.54

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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.