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Finding the Fourth Proportional to 293,107.80, 439,676.10 and 153,139.80

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Solution

The fourth proportional to 293,107.80, 439,676.10 and 153,139.80 is: 229,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,107.80 : 439,676.10 = 153,139.80 : x
  2. Step 2: Convert to fraction form
    293,107.80/439,676.10 = 153,139.80/x
  3. Step 3: Cross multiply
    293,107.80x = 439,676.10 × 153,139.80
  4. Step 4: Simplify right side
    293,107.80x = 67,331,910,018.78
  5. Step 5: Solve for x
    x = 67,331,910,018.78/293,107.80
  6. Step 6: Final answer
    x = 229,717.22

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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.