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Finding the Fourth Proportional to 430,830.30, 646,245.45 and 164,453.70

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Solution

The fourth proportional to 430,830.30, 646,245.45 and 164,453.70 is: 246,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,830.30 : 646,245.45 = 164,453.70 : x
  2. Step 2: Convert to fraction form
    430,830.30/646,245.45 = 164,453.70/x
  3. Step 3: Cross multiply
    430,830.30x = 646,245.45 × 164,453.70
  4. Step 4: Simplify right side
    430,830.30x = 106,277,455,360.67
  5. Step 5: Solve for x
    x = 106,277,455,360.67/430,830.30
  6. Step 6: Final answer
    x = 246,680.55

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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.