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Finding the Fourth Proportional to 421,326.94, 581,431.07 and 230,340.33

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Solution

The fourth proportional to 421,326.94, 581,431.07 and 230,340.33 is: 317,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,326.94 : 581,431.07 = 230,340.33 : x
  2. Step 2: Convert to fraction form
    421,326.94/581,431.07 = 230,340.33/x
  3. Step 3: Cross multiply
    421,326.94x = 581,431.07 × 230,340.33
  4. Step 4: Simplify right side
    421,326.94x = 133,927,024,536.05
  5. Step 5: Solve for x
    x = 133,927,024,536.05/421,326.94
  6. Step 6: Final answer
    x = 317,869.60

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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.