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Finding the Fourth Proportional to 515,325.95, 772,993.02 and 211,641.86

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Solution

The fourth proportional to 515,325.95, 772,993.02 and 211,641.86 is: 317,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,325.95 : 772,993.02 = 211,641.86 : x
  2. Step 2: Convert to fraction form
    515,325.95/772,993.02 = 211,641.86/x
  3. Step 3: Cross multiply
    515,325.95x = 772,993.02 × 211,641.86
  4. Step 4: Simplify right side
    515,325.95x = 163,597,683,245.96
  5. Step 5: Solve for x
    x = 163,597,683,245.96/515,325.95
  6. Step 6: Final answer
    x = 317,464.48

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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.