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Finding the Fourth Proportional to 305,763.20, 458,644.80 and 164,045.60

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Solution

The fourth proportional to 305,763.20, 458,644.80 and 164,045.60 is: 246,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,763.20 : 458,644.80 = 164,045.60 : x
  2. Step 2: Convert to fraction form
    305,763.20/458,644.80 = 164,045.60/x
  3. Step 3: Cross multiply
    305,763.20x = 458,644.80 × 164,045.60
  4. Step 4: Simplify right side
    305,763.20x = 75,238,661,402.88
  5. Step 5: Solve for x
    x = 75,238,661,402.88/305,763.20
  6. Step 6: Final answer
    x = 246,068.40

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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.