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Finding the Fourth Proportional to 305,698.51, 455,757.18 and 297,929.64

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Solution

The fourth proportional to 305,698.51, 455,757.18 and 297,929.64 is: 444,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,698.51 : 455,757.18 = 297,929.64 : x
  2. Step 2: Convert to fraction form
    305,698.51/455,757.18 = 297,929.64/x
  3. Step 3: Cross multiply
    305,698.51x = 455,757.18 × 297,929.64
  4. Step 4: Simplify right side
    305,698.51x = 135,783,574,832.52
  5. Step 5: Solve for x
    x = 135,783,574,832.52/305,698.51
  6. Step 6: Final answer
    x = 444,174.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.