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Finding the Fourth Proportional to 270,863,999.80, 406,295,999.70 and 269,352,345.40

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Solution

The fourth proportional to 270,863,999.80, 406,295,999.70 and 269,352,345.40 is: 404,028,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,863,999.80 : 406,295,999.70 = 269,352,345.40 : x
  2. Step 2: Convert to fraction form
    270,863,999.80/406,295,999.70 = 269,352,345.40/x
  3. Step 3: Cross multiply
    270,863,999.80x = 406,295,999.70 × 269,352,345.40
  4. Step 4: Simplify right side
    270,863,999.80x = 109,436,780,445,832,688
  5. Step 5: Solve for x
    x = 109,436,780,445,832,688/270,863,999.80
  6. Step 6: Final answer
    x = 404,028,518.10

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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.