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Finding the Fourth Proportional to 512,005.86, 767,980.04 and 157,018.91

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Solution

The fourth proportional to 512,005.86, 767,980.04 and 157,018.91 is: 235,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,005.86 : 767,980.04 = 157,018.91 : x
  2. Step 2: Convert to fraction form
    512,005.86/767,980.04 = 157,018.91/x
  3. Step 3: Cross multiply
    512,005.86x = 767,980.04 × 157,018.91
  4. Step 4: Simplify right side
    512,005.86x = 120,587,384,157.56
  5. Step 5: Solve for x
    x = 120,587,384,157.56/512,005.86
  6. Step 6: Final answer
    x = 235,519.54

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1.5x scale

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.