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Finding the Fourth Proportional to 401,138,853.15, 601,708,279.73 and 401,138,853.15

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Solution

The fourth proportional to 401,138,853.15, 601,708,279.73 and 401,138,853.15 is: 601,708,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,138,853.15 : 601,708,279.73 = 401,138,853.15 : x
  2. Step 2: Convert to fraction form
    401,138,853.15/601,708,279.73 = 401,138,853.15/x
  3. Step 3: Cross multiply
    401,138,853.15x = 601,708,279.73 × 401,138,853.15
  4. Step 4: Simplify right side
    401,138,853.15x = 241,368,569,259,745,888
  5. Step 5: Solve for x
    x = 241,368,569,259,745,888/401,138,853.15
  6. Step 6: Final answer
    x = 601,708,279.73

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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.