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Finding the Fourth Proportional to 457,429.64, 630,464.79 and 304,193.94

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Solution

The fourth proportional to 457,429.64, 630,464.79 and 304,193.94 is: 419,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,429.64 : 630,464.79 = 304,193.94 : x
  2. Step 2: Convert to fraction form
    457,429.64/630,464.79 = 304,193.94/x
  3. Step 3: Cross multiply
    457,429.64x = 630,464.79 × 304,193.94
  4. Step 4: Simplify right side
    457,429.64x = 191,783,568,501.37
  5. Step 5: Solve for x
    x = 191,783,568,501.37/457,429.64
  6. Step 6: Final answer
    x = 419,263.54

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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.