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Finding the Fourth Proportional to 500,509,665, 750,238,953.60 and 168,401,383.56

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Solution

The fourth proportional to 500,509,665, 750,238,953.60 and 168,401,383.56 is: 252,425,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,509,665 : 750,238,953.60 = 168,401,383.56 : x
  2. Step 2: Convert to fraction form
    500,509,665/750,238,953.60 = 168,401,383.56/x
  3. Step 3: Cross multiply
    500,509,665x = 750,238,953.60 × 168,401,383.56
  4. Step 4: Simplify right side
    500,509,665x = 126,341,277,786,846,656
  5. Step 5: Solve for x
    x = 126,341,277,786,846,656/500,509,665
  6. Step 6: Final answer
    x = 252,425,250.94

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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.