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Finding the Fourth Proportional to 300,462, 450,045.07 and 282,796.51

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Solution

The fourth proportional to 300,462, 450,045.07 and 282,796.51 is: 423,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,462 : 450,045.07 = 282,796.51 : x
  2. Step 2: Convert to fraction form
    300,462/450,045.07 = 282,796.51/x
  3. Step 3: Cross multiply
    300,462x = 450,045.07 × 282,796.51
  4. Step 4: Simplify right side
    300,462x = 127,271,173,306.60
  5. Step 5: Solve for x
    x = 127,271,173,306.60/300,462
  6. Step 6: Final answer
    x = 423,584.92

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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.