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Finding the Fourth Proportional to 421,338.51, 581,452.83 and 230,351.45

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Solution

The fourth proportional to 421,338.51, 581,452.83 and 230,351.45 is: 317,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,338.51 : 581,452.83 = 230,351.45 : x
  2. Step 2: Convert to fraction form
    421,338.51/581,452.83 = 230,351.45/x
  3. Step 3: Cross multiply
    421,338.51x = 581,452.83 × 230,351.45
  4. Step 4: Simplify right side
    421,338.51x = 133,938,499,589.84
  5. Step 5: Solve for x
    x = 133,938,499,589.84/421,338.51
  6. Step 6: Final answer
    x = 317,888.10

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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.