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Finding the Fourth Proportional to 421,266.36, 581,347.62 and 230,280.54

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Solution

The fourth proportional to 421,266.36, 581,347.62 and 230,280.54 is: 317,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,266.36 : 581,347.62 = 230,280.54 : x
  2. Step 2: Convert to fraction form
    421,266.36/581,347.62 = 230,280.54/x
  3. Step 3: Cross multiply
    421,266.36x = 581,347.62 × 230,280.54
  4. Step 4: Simplify right side
    421,266.36x = 133,873,043,861.32
  5. Step 5: Solve for x
    x = 133,873,043,861.32/421,266.36
  6. Step 6: Final answer
    x = 317,787.17

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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.