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Finding the Fourth Proportional to 401,315,081.80, 601,972,622.70 and 264,008,442.10

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Solution

The fourth proportional to 401,315,081.80, 601,972,622.70 and 264,008,442.10 is: 396,012,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,315,081.80 : 601,972,622.70 = 264,008,442.10 : x
  2. Step 2: Convert to fraction form
    401,315,081.80/601,972,622.70 = 264,008,442.10/x
  3. Step 3: Cross multiply
    401,315,081.80x = 601,972,622.70 × 264,008,442.10
  4. Step 4: Simplify right side
    401,315,081.80x = 158,925,854,305,878,112
  5. Step 5: Solve for x
    x = 158,925,854,305,878,112/401,315,081.80
  6. Step 6: Final answer
    x = 396,012,663.15

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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.