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Finding the Fourth Proportional to 343,495.83, 474,015.10 and 198,296.72

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Solution

The fourth proportional to 343,495.83, 474,015.10 and 198,296.72 is: 273,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,495.83 : 474,015.10 = 198,296.72 : x
  2. Step 2: Convert to fraction form
    343,495.83/474,015.10 = 198,296.72/x
  3. Step 3: Cross multiply
    343,495.83x = 474,015.10 × 198,296.72
  4. Step 4: Simplify right side
    343,495.83x = 93,995,637,190.40
  5. Step 5: Solve for x
    x = 93,995,637,190.40/343,495.83
  6. Step 6: Final answer
    x = 273,644.19

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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.