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Finding the Fourth Proportional to 446,009.78, 669,252.90 and 209,354.60

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Solution

The fourth proportional to 446,009.78, 669,252.90 and 209,354.60 is: 314,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,009.78 : 669,252.90 = 209,354.60 : x
  2. Step 2: Convert to fraction form
    446,009.78/669,252.90 = 209,354.60/x
  3. Step 3: Cross multiply
    446,009.78x = 669,252.90 × 209,354.60
  4. Step 4: Simplify right side
    446,009.78x = 140,111,173,178.34
  5. Step 5: Solve for x
    x = 140,111,173,178.34/446,009.78
  6. Step 6: Final answer
    x = 314,143.72

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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.