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Finding the Fourth Proportional to 285,363.03, 428,072.86 and 105,495.58

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Solution

The fourth proportional to 285,363.03, 428,072.86 and 105,495.58 is: 158,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,363.03 : 428,072.86 = 105,495.58 : x
  2. Step 2: Convert to fraction form
    285,363.03/428,072.86 = 105,495.58/x
  3. Step 3: Cross multiply
    285,363.03x = 428,072.86 × 105,495.58
  4. Step 4: Simplify right side
    285,363.03x = 45,159,792,507.59
  5. Step 5: Solve for x
    x = 45,159,792,507.59/285,363.03
  6. Step 6: Final answer
    x = 158,253.83

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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.