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Finding the Fourth Proportional to 418,950.51, 628,344.66 and 162,782.64

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Solution

The fourth proportional to 418,950.51, 628,344.66 and 162,782.64 is: 244,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,950.51 : 628,344.66 = 162,782.64 : x
  2. Step 2: Convert to fraction form
    418,950.51/628,344.66 = 162,782.64/x
  3. Step 3: Cross multiply
    418,950.51x = 628,344.66 × 162,782.64
  4. Step 4: Simplify right side
    418,950.51x = 102,283,602,584.70
  5. Step 5: Solve for x
    x = 102,283,602,584.70/418,950.51
  6. Step 6: Final answer
    x = 244,142.45

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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.