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Finding the Fourth Proportional to 228,457.98, 342,709.92 and 78,678.54

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Solution

The fourth proportional to 228,457.98, 342,709.92 and 78,678.54 is: 118,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,457.98 : 342,709.92 = 78,678.54 : x
  2. Step 2: Convert to fraction form
    228,457.98/342,709.92 = 78,678.54/x
  3. Step 3: Cross multiply
    228,457.98x = 342,709.92 × 78,678.54
  4. Step 4: Simplify right side
    228,457.98x = 26,963,916,149.12
  5. Step 5: Solve for x
    x = 26,963,916,149.12/228,457.98
  6. Step 6: Final answer
    x = 118,025.71

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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.