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Finding the Fourth Proportional to 512,701.37, 769,216.34 and 358,987.48

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Solution

The fourth proportional to 512,701.37, 769,216.34 and 358,987.48 is: 538,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,701.37 : 769,216.34 = 358,987.48 : x
  2. Step 2: Convert to fraction form
    512,701.37/769,216.34 = 358,987.48/x
  3. Step 3: Cross multiply
    512,701.37x = 769,216.34 × 358,987.48
  4. Step 4: Simplify right side
    512,701.37x = 276,139,035,118.95
  5. Step 5: Solve for x
    x = 276,139,035,118.95/512,701.37
  6. Step 6: Final answer
    x = 538,596.25

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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.