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Finding the Fourth Proportional to 512,011.14, 767,763.98 and 156,939.54

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Solution

The fourth proportional to 512,011.14, 767,763.98 and 156,939.54 is: 235,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,011.14 : 767,763.98 = 156,939.54 : x
  2. Step 2: Convert to fraction form
    512,011.14/767,763.98 = 156,939.54/x
  3. Step 3: Cross multiply
    512,011.14x = 767,763.98 × 156,939.54
  4. Step 4: Simplify right side
    512,011.14x = 120,492,522,774.48
  5. Step 5: Solve for x
    x = 120,492,522,774.48/512,011.14
  6. Step 6: Final answer
    x = 235,331.84

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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.