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Finding the Fourth Proportional to 305,345.01, 457,796.07 and 205,256.96

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Solution

The fourth proportional to 305,345.01, 457,796.07 and 205,256.96 is: 307,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,345.01 : 457,796.07 = 205,256.96 : x
  2. Step 2: Convert to fraction form
    305,345.01/457,796.07 = 205,256.96/x
  3. Step 3: Cross multiply
    305,345.01x = 457,796.07 × 205,256.96
  4. Step 4: Simplify right side
    305,345.01x = 93,965,827,339.17
  5. Step 5: Solve for x
    x = 93,965,827,339.17/305,345.01
  6. Step 6: Final answer
    x = 307,736.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.