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Finding the Fourth Proportional to 413,315,361.68, 619,973,043.42 and 170,978,265.68

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Solution

The fourth proportional to 413,315,361.68, 619,973,043.42 and 170,978,265.68 is: 256,467,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,315,361.68 : 619,973,043.42 = 170,978,265.68 : x
  2. Step 2: Convert to fraction form
    413,315,361.68/619,973,043.42 = 170,978,265.68/x
  3. Step 3: Cross multiply
    413,315,361.68x = 619,973,043.42 × 170,978,265.68
  4. Step 4: Simplify right side
    413,315,361.68x = 106,001,915,732,302,928
  5. Step 5: Solve for x
    x = 106,001,915,732,302,928/413,315,361.68
  6. Step 6: Final answer
    x = 256,467,398.89

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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.