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Finding the Fourth Proportional to 428,636.65, 642,823.71 and 296,366.89

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Solution

The fourth proportional to 428,636.65, 642,823.71 and 296,366.89 is: 444,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,636.65 : 642,823.71 = 296,366.89 : x
  2. Step 2: Convert to fraction form
    428,636.65/642,823.71 = 296,366.89/x
  3. Step 3: Cross multiply
    428,636.65x = 642,823.71 × 296,366.89
  4. Step 4: Simplify right side
    428,636.65x = 190,511,663,750.96
  5. Step 5: Solve for x
    x = 190,511,663,750.96/428,636.65
  6. Step 6: Final answer
    x = 444,459.58

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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.