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Finding the Fourth Proportional to 413,315,200.63, 619,972,800.81 and 170,978,104.63

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Solution

The fourth proportional to 413,315,200.63, 619,972,800.81 and 170,978,104.63 is: 256,467,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,315,200.63 : 619,972,800.81 = 170,978,104.63 : x
  2. Step 2: Convert to fraction form
    413,315,200.63/619,972,800.81 = 170,978,104.63/x
  3. Step 3: Cross multiply
    413,315,200.63x = 619,972,800.81 × 170,978,104.63
  4. Step 4: Simplify right side
    413,315,200.63x = 106,001,774,404,646,320
  5. Step 5: Solve for x
    x = 106,001,774,404,646,320/413,315,200.63
  6. Step 6: Final answer
    x = 256,467,156.89

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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.