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Finding the Fourth Proportional to 475,708.67, 713,667.93 and 138,775.67

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Solution

The fourth proportional to 475,708.67, 713,667.93 and 138,775.67 is: 208,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,708.67 : 713,667.93 = 138,775.67 : x
  2. Step 2: Convert to fraction form
    475,708.67/713,667.93 = 138,775.67/x
  3. Step 3: Cross multiply
    475,708.67x = 713,667.93 × 138,775.67
  4. Step 4: Simplify right side
    475,708.67x = 99,039,745,143.26
  5. Step 5: Solve for x
    x = 99,039,745,143.26/475,708.67
  6. Step 6: Final answer
    x = 208,194.11

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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.