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Finding the Fourth Proportional to 393,644,726.80, 590,467,090.20 and 364,979,280.40

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Solution

The fourth proportional to 393,644,726.80, 590,467,090.20 and 364,979,280.40 is: 547,468,920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,644,726.80 : 590,467,090.20 = 364,979,280.40 : x
  2. Step 2: Convert to fraction form
    393,644,726.80/590,467,090.20 = 364,979,280.40/x
  3. Step 3: Cross multiply
    393,644,726.80x = 590,467,090.20 × 364,979,280.40
  4. Step 4: Simplify right side
    393,644,726.80x = 215,508,253,681,077,888
  5. Step 5: Solve for x
    x = 215,508,253,681,077,888/393,644,726.80
  6. Step 6: Final answer
    x = 547,468,920.60

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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.