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Finding the Fourth Proportional to 433,477.80, 650,216.70 and 137,989.80

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Solution

The fourth proportional to 433,477.80, 650,216.70 and 137,989.80 is: 206,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,477.80 : 650,216.70 = 137,989.80 : x
  2. Step 2: Convert to fraction form
    433,477.80/650,216.70 = 137,989.80/x
  3. Step 3: Cross multiply
    433,477.80x = 650,216.70 × 137,989.80
  4. Step 4: Simplify right side
    433,477.80x = 89,723,272,389.66
  5. Step 5: Solve for x
    x = 89,723,272,389.66/433,477.80
  6. Step 6: Final answer
    x = 206,984.70

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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.