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Finding the Fourth Proportional to 398,054,186.40, 597,346,700.40 and 225,530,666.40

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Solution

The fourth proportional to 398,054,186.40, 597,346,700.40 and 225,530,666.40 is: 338,446,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,054,186.40 : 597,346,700.40 = 225,530,666.40 : x
  2. Step 2: Convert to fraction form
    398,054,186.40/597,346,700.40 = 225,530,666.40/x
  3. Step 3: Cross multiply
    398,054,186.40x = 597,346,700.40 × 225,530,666.40
  4. Step 4: Simplify right side
    398,054,186.40x = 134,719,999,413,053,152
  5. Step 5: Solve for x
    x = 134,719,999,413,053,152/398,054,186.40
  6. Step 6: Final answer
    x = 338,446,382.47

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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.