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Finding the Fourth Proportional to 301,564.38, 451,657.61 and 143,903.56

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Solution

The fourth proportional to 301,564.38, 451,657.61 and 143,903.56 is: 215,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,564.38 : 451,657.61 = 143,903.56 : x
  2. Step 2: Convert to fraction form
    301,564.38/451,657.61 = 143,903.56/x
  3. Step 3: Cross multiply
    301,564.38x = 451,657.61 × 143,903.56
  4. Step 4: Simplify right side
    301,564.38x = 64,995,137,980.09
  5. Step 5: Solve for x
    x = 64,995,137,980.09/301,564.38
  6. Step 6: Final answer
    x = 215,526.58

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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.