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Finding the Fourth Proportional to 457,214.19, 630,819.09 and 295,813.59

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Solution

The fourth proportional to 457,214.19, 630,819.09 and 295,813.59 is: 408,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,214.19 : 630,819.09 = 295,813.59 : x
  2. Step 2: Convert to fraction form
    457,214.19/630,819.09 = 295,813.59/x
  3. Step 3: Cross multiply
    457,214.19x = 630,819.09 × 295,813.59
  4. Step 4: Simplify right side
    457,214.19x = 186,604,859,653.43
  5. Step 5: Solve for x
    x = 186,604,859,653.43/457,214.19
  6. Step 6: Final answer
    x = 408,134.44

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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.