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Finding the Fourth Proportional to 720,751,345.89, 1,081,017,782.53 and 196,161,326.98

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Solution

The fourth proportional to 720,751,345.89, 1,081,017,782.53 and 196,161,326.98 is: 294,212,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,751,345.89 : 1,081,017,782.53 = 196,161,326.98 : x
  2. Step 2: Convert to fraction form
    720,751,345.89/1,081,017,782.53 = 196,161,326.98/x
  3. Step 3: Cross multiply
    720,751,345.89x = 1,081,017,782.53 × 196,161,326.98
  4. Step 4: Simplify right side
    720,751,345.89x = 212,053,882,710,061,856
  5. Step 5: Solve for x
    x = 212,053,882,710,061,856/720,751,345.89
  6. Step 6: Final answer
    x = 294,212,260.47

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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.