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Finding the Fourth Proportional to 283,768.65, 425,651.43 and 121,638.82

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Solution

The fourth proportional to 283,768.65, 425,651.43 and 121,638.82 is: 182,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,768.65 : 425,651.43 = 121,638.82 : x
  2. Step 2: Convert to fraction form
    283,768.65/425,651.43 = 121,638.82/x
  3. Step 3: Cross multiply
    283,768.65x = 425,651.43 × 121,638.82
  4. Step 4: Simplify right side
    283,768.65x = 51,775,736,925.94
  5. Step 5: Solve for x
    x = 51,775,736,925.94/283,768.65
  6. Step 6: Final answer
    x = 182,457.57

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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.