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Finding the Fourth Proportional to 341,284, 470,913.60 and 198,011.20

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Solution

The fourth proportional to 341,284, 470,913.60 and 198,011.20 is: 273,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,284 : 470,913.60 = 198,011.20 : x
  2. Step 2: Convert to fraction form
    341,284/470,913.60 = 198,011.20/x
  3. Step 3: Cross multiply
    341,284x = 470,913.60 × 198,011.20
  4. Step 4: Simplify right side
    341,284x = 93,246,167,032.32
  5. Step 5: Solve for x
    x = 93,246,167,032.32/341,284
  6. Step 6: Final answer
    x = 273,221.62

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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.