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Finding the Fourth Proportional to 298,904.12, 412,602.84 and 218,966.54

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Solution

The fourth proportional to 298,904.12, 412,602.84 and 218,966.54 is: 302,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,904.12 : 412,602.84 = 218,966.54 : x
  2. Step 2: Convert to fraction form
    298,904.12/412,602.84 = 218,966.54/x
  3. Step 3: Cross multiply
    298,904.12x = 412,602.84 × 218,966.54
  4. Step 4: Simplify right side
    298,904.12x = 90,346,215,911.01
  5. Step 5: Solve for x
    x = 90,346,215,911.01/298,904.12
  6. Step 6: Final answer
    x = 302,258.18

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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.