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Finding the Fourth Proportional to 213,654,467.70, 320,481,701.55 and 77,290,643.70

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Solution

The fourth proportional to 213,654,467.70, 320,481,701.55 and 77,290,643.70 is: 115,935,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,654,467.70 : 320,481,701.55 = 77,290,643.70 : x
  2. Step 2: Convert to fraction form
    213,654,467.70/320,481,701.55 = 77,290,643.70/x
  3. Step 3: Cross multiply
    213,654,467.70x = 320,481,701.55 × 77,290,643.70
  4. Step 4: Simplify right side
    213,654,467.70x = 24,770,237,006,870,788
  5. Step 5: Solve for x
    x = 24,770,237,006,870,788/213,654,467.70
  6. Step 6: Final answer
    x = 115,935,965.55

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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.