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Finding the Fourth Proportional to 430,661.84, 646,086.15 and 131,134.57

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Solution

The fourth proportional to 430,661.84, 646,086.15 and 131,134.57 is: 196,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,661.84 : 646,086.15 = 131,134.57 : x
  2. Step 2: Convert to fraction form
    430,661.84/646,086.15 = 131,134.57/x
  3. Step 3: Cross multiply
    430,661.84x = 646,086.15 × 131,134.57
  4. Step 4: Simplify right side
    430,661.84x = 84,724,228,339.74
  5. Step 5: Solve for x
    x = 84,724,228,339.74/430,661.84
  6. Step 6: Final answer
    x = 196,730.29

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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.