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Finding the Fourth Proportional to 512,405.10, 768,680.55 and 157,365.90

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Solution

The fourth proportional to 512,405.10, 768,680.55 and 157,365.90 is: 236,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,405.10 : 768,680.55 = 157,365.90 : x
  2. Step 2: Convert to fraction form
    512,405.10/768,680.55 = 157,365.90/x
  3. Step 3: Cross multiply
    512,405.10x = 768,680.55 × 157,365.90
  4. Step 4: Simplify right side
    512,405.10x = 120,964,106,563.25
  5. Step 5: Solve for x
    x = 120,964,106,563.25/512,405.10
  6. Step 6: Final answer
    x = 236,071.24

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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.