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Finding the Fourth Proportional to 208,658.16, 312,986.16 and 180,493.92

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Solution

The fourth proportional to 208,658.16, 312,986.16 and 180,493.92 is: 270,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,658.16 : 312,986.16 = 180,493.92 : x
  2. Step 2: Convert to fraction form
    208,658.16/312,986.16 = 180,493.92/x
  3. Step 3: Cross multiply
    208,658.16x = 312,986.16 × 180,493.92
  4. Step 4: Simplify right side
    208,658.16x = 56,492,098,924.15
  5. Step 5: Solve for x
    x = 56,492,098,924.15/208,658.16
  6. Step 6: Final answer
    x = 270,739.95

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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.