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Finding the Fourth Proportional to 258,830.40, 388,300.80 and 146,563.20

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Solution

The fourth proportional to 258,830.40, 388,300.80 and 146,563.20 is: 219,876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,830.40 : 388,300.80 = 146,563.20 : x
  2. Step 2: Convert to fraction form
    258,830.40/388,300.80 = 146,563.20/x
  3. Step 3: Cross multiply
    258,830.40x = 388,300.80 × 146,563.20
  4. Step 4: Simplify right side
    258,830.40x = 56,910,607,810.56
  5. Step 5: Solve for x
    x = 56,910,607,810.56/258,830.40
  6. Step 6: Final answer
    x = 219,876.06

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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.