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Finding the Fourth Proportional to 385,191.26, 577,313.64 and 216,356.68

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Solution

The fourth proportional to 385,191.26, 577,313.64 and 216,356.68 is: 324,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,191.26 : 577,313.64 = 216,356.68 : x
  2. Step 2: Convert to fraction form
    385,191.26/577,313.64 = 216,356.68/x
  3. Step 3: Cross multiply
    385,191.26x = 577,313.64 × 216,356.68
  4. Step 4: Simplify right side
    385,191.26x = 124,905,662,469.12
  5. Step 5: Solve for x
    x = 124,905,662,469.12/385,191.26
  6. Step 6: Final answer
    x = 324,269.20

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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.