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Finding the Fourth Proportional to 536,078.72, 803,863.31 and 311,503.93

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Solution

The fourth proportional to 536,078.72, 803,863.31 and 311,503.93 is: 467,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,078.72 : 803,863.31 = 311,503.93 : x
  2. Step 2: Convert to fraction form
    536,078.72/803,863.31 = 311,503.93/x
  3. Step 3: Cross multiply
    536,078.72x = 803,863.31 × 311,503.93
  4. Step 4: Simplify right side
    536,078.72x = 250,406,576,680.63
  5. Step 5: Solve for x
    x = 250,406,576,680.63/536,078.72
  6. Step 6: Final answer
    x = 467,107.84

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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.