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Finding the Fourth Proportional to 430,476.70, 645,736.94 and 146,200.72

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Solution

The fourth proportional to 430,476.70, 645,736.94 and 146,200.72 is: 219,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,476.70 : 645,736.94 = 146,200.72 : x
  2. Step 2: Convert to fraction form
    430,476.70/645,736.94 = 146,200.72/x
  3. Step 3: Cross multiply
    430,476.70x = 645,736.94 × 146,200.72
  4. Step 4: Simplify right side
    430,476.70x = 94,407,205,558.60
  5. Step 5: Solve for x
    x = 94,407,205,558.60/430,476.70
  6. Step 6: Final answer
    x = 219,308.51

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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.