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Finding the Fourth Proportional to 292,626.81, 438,908.31 and 198,461.88

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Solution

The fourth proportional to 292,626.81, 438,908.31 and 198,461.88 is: 297,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,626.81 : 438,908.31 = 198,461.88 : x
  2. Step 2: Convert to fraction form
    292,626.81/438,908.31 = 198,461.88/x
  3. Step 3: Cross multiply
    292,626.81x = 438,908.31 × 198,461.88
  4. Step 4: Simplify right side
    292,626.81x = 87,106,568,350.22
  5. Step 5: Solve for x
    x = 87,106,568,350.22/292,626.81
  6. Step 6: Final answer
    x = 297,671.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.