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Finding the Fourth Proportional to 514,658.88, 771,963.60 and 140,682.72

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Solution

The fourth proportional to 514,658.88, 771,963.60 and 140,682.72 is: 211,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,658.88 : 771,963.60 = 140,682.72 : x
  2. Step 2: Convert to fraction form
    514,658.88/771,963.60 = 140,682.72/x
  3. Step 3: Cross multiply
    514,658.88x = 771,963.60 × 140,682.72
  4. Step 4: Simplify right side
    514,658.88x = 108,601,938,988.99
  5. Step 5: Solve for x
    x = 108,601,938,988.99/514,658.88
  6. Step 6: Final answer
    x = 211,017.32

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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.