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Finding the Fourth Proportional to 358,976.58, 495,398.05 and 197,842

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Solution

The fourth proportional to 358,976.58, 495,398.05 and 197,842 is: 273,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,976.58 : 495,398.05 = 197,842 : x
  2. Step 2: Convert to fraction form
    358,976.58/495,398.05 = 197,842/x
  3. Step 3: Cross multiply
    358,976.58x = 495,398.05 × 197,842
  4. Step 4: Simplify right side
    358,976.58x = 98,010,541,008.10
  5. Step 5: Solve for x
    x = 98,010,541,008.10/358,976.58
  6. Step 6: Final answer
    x = 273,027.67

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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.