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Finding the Fourth Proportional to 380,907.65, 524,455.61 and 323,426.00

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Solution

The fourth proportional to 380,907.65, 524,455.61 and 323,426.00 is: 445,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,907.65 : 524,455.61 = 323,426.00 : x
  2. Step 2: Convert to fraction form
    380,907.65/524,455.61 = 323,426.00/x
  3. Step 3: Cross multiply
    380,907.65x = 524,455.61 × 323,426.00
  4. Step 4: Simplify right side
    380,907.65x = 169,622,575,880.45
  5. Step 5: Solve for x
    x = 169,622,575,880.45/380,907.65
  6. Step 6: Final answer
    x = 445,311.56

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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.