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Finding the Fourth Proportional to 421,474.34, 581,639.18 and 230,483.63

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Solution

The fourth proportional to 421,474.34, 581,639.18 and 230,483.63 is: 318,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,474.34 : 581,639.18 = 230,483.63 : x
  2. Step 2: Convert to fraction form
    421,474.34/581,639.18 = 230,483.63/x
  3. Step 3: Cross multiply
    421,474.34x = 581,639.18 × 230,483.63
  4. Step 4: Simplify right side
    421,474.34x = 134,058,305,496.01
  5. Step 5: Solve for x
    x = 134,058,305,496.01/421,474.34
  6. Step 6: Final answer
    x = 318,069.91

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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.