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Finding the Fourth Proportional to 285,930.66, 428,771.40 and 96,355.71

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Solution

The fourth proportional to 285,930.66, 428,771.40 and 96,355.71 is: 144,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,930.66 : 428,771.40 = 96,355.71 : x
  2. Step 2: Convert to fraction form
    285,930.66/428,771.40 = 96,355.71/x
  3. Step 3: Cross multiply
    285,930.66x = 428,771.40 × 96,355.71
  4. Step 4: Simplify right side
    285,930.66x = 41,314,572,674.69
  5. Step 5: Solve for x
    x = 41,314,572,674.69/285,930.66
  6. Step 6: Final answer
    x = 144,491.58

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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.