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Finding the Fourth Proportional to 653,120,188.80, 978,336,590.40 and 330,186,019.20

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Solution

The fourth proportional to 653,120,188.80, 978,336,590.40 and 330,186,019.20 is: 494,599,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,120,188.80 : 978,336,590.40 = 330,186,019.20 : x
  2. Step 2: Convert to fraction form
    653,120,188.80/978,336,590.40 = 330,186,019.20/x
  3. Step 3: Cross multiply
    653,120,188.80x = 978,336,590.40 × 330,186,019.20
  4. Step 4: Simplify right side
    653,120,188.80x = 323,033,064,221,876,928
  5. Step 5: Solve for x
    x = 323,033,064,221,876,928/653,120,188.80
  6. Step 6: Final answer
    x = 494,599,722.63

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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.