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Finding the Fourth Proportional to 512,332.72, 766,924.32 and 436,750

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Solution

The fourth proportional to 512,332.72, 766,924.32 and 436,750 is: 653,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,332.72 : 766,924.32 = 436,750 : x
  2. Step 2: Convert to fraction form
    512,332.72/766,924.32 = 436,750/x
  3. Step 3: Cross multiply
    512,332.72x = 766,924.32 × 436,750
  4. Step 4: Simplify right side
    512,332.72x = 334,954,196,760
  5. Step 5: Solve for x
    x = 334,954,196,760/512,332.72
  6. Step 6: Final answer
    x = 653,782.56

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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.