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Finding the Fourth Proportional to 300,765.47, 451,853.64 and 283,742.45

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Solution

The fourth proportional to 300,765.47, 451,853.64 and 283,742.45 is: 426,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,765.47 : 451,853.64 = 283,742.45 : x
  2. Step 2: Convert to fraction form
    300,765.47/451,853.64 = 283,742.45/x
  3. Step 3: Cross multiply
    300,765.47x = 451,853.64 × 283,742.45
  4. Step 4: Simplify right side
    300,765.47x = 128,210,058,855.02
  5. Step 5: Solve for x
    x = 128,210,058,855.02/300,765.47
  6. Step 6: Final answer
    x = 426,279.18

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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.