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Finding the Fourth Proportional to 285,928.67, 428,768.40 and 96,353.71

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Solution

The fourth proportional to 285,928.67, 428,768.40 and 96,353.71 is: 144,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,928.67 : 428,768.40 = 96,353.71 : x
  2. Step 2: Convert to fraction form
    285,928.67/428,768.40 = 96,353.71/x
  3. Step 3: Cross multiply
    285,928.67x = 428,768.40 × 96,353.71
  4. Step 4: Simplify right side
    285,928.67x = 41,313,426,070.76
  5. Step 5: Solve for x
    x = 41,313,426,070.76/285,928.67
  6. Step 6: Final answer
    x = 144,488.57

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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.