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Finding the Fourth Proportional to 304,729.02, 420,386.42 and 197,333.64

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Solution

The fourth proportional to 304,729.02, 420,386.42 and 197,333.64 is: 272,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,729.02 : 420,386.42 = 197,333.64 : x
  2. Step 2: Convert to fraction form
    304,729.02/420,386.42 = 197,333.64/x
  3. Step 3: Cross multiply
    304,729.02x = 420,386.42 × 197,333.64
  4. Step 4: Simplify right side
    304,729.02x = 82,956,382,958.50
  5. Step 5: Solve for x
    x = 82,956,382,958.50/304,729.02
  6. Step 6: Final answer
    x = 272,230.01

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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.