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Finding the Fourth Proportional to 514,620.61, 771,968.76 and 135,538.57

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Solution

The fourth proportional to 514,620.61, 771,968.76 and 135,538.57 is: 203,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,620.61 : 771,968.76 = 135,538.57 : x
  2. Step 2: Convert to fraction form
    514,620.61/771,968.76 = 135,538.57/x
  3. Step 3: Cross multiply
    514,620.61x = 771,968.76 × 135,538.57
  4. Step 4: Simplify right side
    514,620.61x = 104,631,541,137.38
  5. Step 5: Solve for x
    x = 104,631,541,137.38/514,620.61
  6. Step 6: Final answer
    x = 203,317.82

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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.