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Finding the Fourth Proportional to 298,258.47, 411,462.86 and 201,430.85

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Solution

The fourth proportional to 298,258.47, 411,462.86 and 201,430.85 is: 277,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,258.47 : 411,462.86 = 201,430.85 : x
  2. Step 2: Convert to fraction form
    298,258.47/411,462.86 = 201,430.85/x
  3. Step 3: Cross multiply
    298,258.47x = 411,462.86 × 201,430.85
  4. Step 4: Simplify right side
    298,258.47x = 82,881,310,568.76
  5. Step 5: Solve for x
    x = 82,881,310,568.76/298,258.47
  6. Step 6: Final answer
    x = 277,884.18

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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.