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Finding the Fourth Proportional to 358,914.74, 495,273.57 and 208,021.46

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Solution

The fourth proportional to 358,914.74, 495,273.57 and 208,021.46 is: 287,052.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,914.74 : 495,273.57 = 208,021.46 : x
  2. Step 2: Convert to fraction form
    358,914.74/495,273.57 = 208,021.46/x
  3. Step 3: Cross multiply
    358,914.74x = 495,273.57 × 208,021.46
  4. Step 4: Simplify right side
    358,914.74x = 103,027,531,130.81
  5. Step 5: Solve for x
    x = 103,027,531,130.81/358,914.74
  6. Step 6: Final answer
    x = 287,052.94

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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.