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Finding the Fourth Proportional to 653,116,709.80, 978,331,371.90 and 330,182,540.20

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Solution

The fourth proportional to 653,116,709.80, 978,331,371.90 and 330,182,540.20 is: 494,594,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,116,709.80 : 978,331,371.90 = 330,182,540.20 : x
  2. Step 2: Convert to fraction form
    653,116,709.80/978,331,371.90 = 330,182,540.20/x
  3. Step 3: Cross multiply
    653,116,709.80x = 978,331,371.90 × 330,182,540.20
  4. Step 4: Simplify right side
    653,116,709.80x = 323,027,937,531,292,864
  5. Step 5: Solve for x
    x = 323,027,937,531,292,864/653,116,709.80
  6. Step 6: Final answer
    x = 494,594,507.66

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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.