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Finding the Fourth Proportional to 430,013.25, 644,994.36 and 130,496.31

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Solution

The fourth proportional to 430,013.25, 644,994.36 and 130,496.31 is: 195,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,013.25 : 644,994.36 = 130,496.31 : x
  2. Step 2: Convert to fraction form
    430,013.25/644,994.36 = 130,496.31/x
  3. Step 3: Cross multiply
    430,013.25x = 644,994.36 × 130,496.31
  4. Step 4: Simplify right side
    430,013.25x = 84,169,383,950.81
  5. Step 5: Solve for x
    x = 84,169,383,950.81/430,013.25
  6. Step 6: Final answer
    x = 195,736.72

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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.