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Finding the Fourth Proportional to 512,434.17, 768,518.61 and 152,520.52

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Solution

The fourth proportional to 512,434.17, 768,518.61 and 152,520.52 is: 228,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,434.17 : 768,518.61 = 152,520.52 : x
  2. Step 2: Convert to fraction form
    512,434.17/768,518.61 = 152,520.52/x
  3. Step 3: Cross multiply
    512,434.17x = 768,518.61 × 152,520.52
  4. Step 4: Simplify right side
    512,434.17x = 117,214,858,026.88
  5. Step 5: Solve for x
    x = 117,214,858,026.88/512,434.17
  6. Step 6: Final answer
    x = 228,741.30

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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.