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Finding the Fourth Proportional to 258,833.40, 388,305.30 and 146,566.20

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Solution

The fourth proportional to 258,833.40, 388,305.30 and 146,566.20 is: 219,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,833.40 : 388,305.30 = 146,566.20 : x
  2. Step 2: Convert to fraction form
    258,833.40/388,305.30 = 146,566.20/x
  3. Step 3: Cross multiply
    258,833.40x = 388,305.30 × 146,566.20
  4. Step 4: Simplify right side
    258,833.40x = 56,912,432,260.86
  5. Step 5: Solve for x
    x = 56,912,432,260.86/258,833.40
  6. Step 6: Final answer
    x = 219,880.56

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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.