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Finding the Fourth Proportional to 421,477.39, 581,692.06 and 276,405.24

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Solution

The fourth proportional to 421,477.39, 581,692.06 and 276,405.24 is: 381,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,477.39 : 581,692.06 = 276,405.24 : x
  2. Step 2: Convert to fraction form
    421,477.39/581,692.06 = 276,405.24/x
  3. Step 3: Cross multiply
    421,477.39x = 581,692.06 × 276,405.24
  4. Step 4: Simplify right side
    421,477.39x = 160,782,733,450.39
  5. Step 5: Solve for x
    x = 160,782,733,450.39/421,477.39
  6. Step 6: Final answer
    x = 381,474.16

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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.