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Finding the Fourth Proportional to 285,071.22, 427,730.85 and 178,698.96

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Solution

The fourth proportional to 285,071.22, 427,730.85 and 178,698.96 is: 268,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,071.22 : 427,730.85 = 178,698.96 : x
  2. Step 2: Convert to fraction form
    285,071.22/427,730.85 = 178,698.96/x
  3. Step 3: Cross multiply
    285,071.22x = 427,730.85 × 178,698.96
  4. Step 4: Simplify right side
    285,071.22x = 76,435,058,054.92
  5. Step 5: Solve for x
    x = 76,435,058,054.92/285,071.22
  6. Step 6: Final answer
    x = 268,126.18

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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.