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Finding the Fourth Proportional to 475,992.78, 713,017.17 and 265,742.70

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Solution

The fourth proportional to 475,992.78, 713,017.17 and 265,742.70 is: 398,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,992.78 : 713,017.17 = 265,742.70 : x
  2. Step 2: Convert to fraction form
    475,992.78/713,017.17 = 265,742.70/x
  3. Step 3: Cross multiply
    475,992.78x = 713,017.17 × 265,742.70
  4. Step 4: Simplify right side
    475,992.78x = 189,479,107,902.16
  5. Step 5: Solve for x
    x = 189,479,107,902.16/475,992.78
  6. Step 6: Final answer
    x = 398,071.39

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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.