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Finding the Fourth Proportional to 304,761.40, 457,142.10 and 259,660.60

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Solution

The fourth proportional to 304,761.40, 457,142.10 and 259,660.60 is: 389,490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,761.40 : 457,142.10 = 259,660.60 : x
  2. Step 2: Convert to fraction form
    304,761.40/457,142.10 = 259,660.60/x
  3. Step 3: Cross multiply
    304,761.40x = 457,142.10 × 259,660.60
  4. Step 4: Simplify right side
    304,761.40x = 118,701,791,971.26
  5. Step 5: Solve for x
    x = 118,701,791,971.26/304,761.40
  6. Step 6: Final answer
    x = 389,490.90

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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.