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Finding the Fourth Proportional to 430,364.10, 645,619.86 and 130,874.43

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Solution

The fourth proportional to 430,364.10, 645,619.86 and 130,874.43 is: 196,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,364.10 : 645,619.86 = 130,874.43 : x
  2. Step 2: Convert to fraction form
    430,364.10/645,619.86 = 130,874.43/x
  3. Step 3: Cross multiply
    430,364.10x = 645,619.86 × 130,874.43
  4. Step 4: Simplify right side
    430,364.10x = 84,495,131,174.18
  5. Step 5: Solve for x
    x = 84,495,131,174.18/430,364.10
  6. Step 6: Final answer
    x = 196,334.06

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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.