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Finding the Fourth Proportional to 406,988,734.16, 610,486,879.80 and 115,855,846.40

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Solution

The fourth proportional to 406,988,734.16, 610,486,879.80 and 115,855,846.40 is: 173,784,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,988,734.16 : 610,486,879.80 = 115,855,846.40 : x
  2. Step 2: Convert to fraction form
    406,988,734.16/610,486,879.80 = 115,855,846.40/x
  3. Step 3: Cross multiply
    406,988,734.16x = 610,486,879.80 × 115,855,846.40
  4. Step 4: Simplify right side
    406,988,734.16x = 70,728,474,175,324,064
  5. Step 5: Solve for x
    x = 70,728,474,175,324,064/406,988,734.16
  6. Step 6: Final answer
    x = 173,784,845.23

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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.