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Finding the Fourth Proportional to 354,128, 488,696.64 and 195,152

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Solution

The fourth proportional to 354,128, 488,696.64 and 195,152 is: 269,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,128 : 488,696.64 = 195,152 : x
  2. Step 2: Convert to fraction form
    354,128/488,696.64 = 195,152/x
  3. Step 3: Cross multiply
    354,128x = 488,696.64 × 195,152
  4. Step 4: Simplify right side
    354,128x = 95,370,126,689.28
  5. Step 5: Solve for x
    x = 95,370,126,689.28/354,128
  6. Step 6: Final answer
    x = 269,309.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.