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Finding the Fourth Proportional to 654,978,643.72, 903,863,673.16 and 357,619,964.26

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Solution

The fourth proportional to 654,978,643.72, 903,863,673.16 and 357,619,964.26 is: 493,511,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,978,643.72 : 903,863,673.16 = 357,619,964.26 : x
  2. Step 2: Convert to fraction form
    654,978,643.72/903,863,673.16 = 357,619,964.26/x
  3. Step 3: Cross multiply
    654,978,643.72x = 903,863,673.16 × 357,619,964.26
  4. Step 4: Simplify right side
    654,978,643.72x = 323,239,694,491,391,488
  5. Step 5: Solve for x
    x = 323,239,694,491,391,488/654,978,643.72
  6. Step 6: Final answer
    x = 493,511,807.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.