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Finding the Fourth Proportional to 420,246,400.32, 579,933,978.72 and 232,082,655.96

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Solution

The fourth proportional to 420,246,400.32, 579,933,978.72 and 232,082,655.96 is: 320,270,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,246,400.32 : 579,933,978.72 = 232,082,655.96 : x
  2. Step 2: Convert to fraction form
    420,246,400.32/579,933,978.72 = 232,082,655.96/x
  3. Step 3: Cross multiply
    420,246,400.32x = 579,933,978.72 × 232,082,655.96
  4. Step 4: Simplify right side
    420,246,400.32x = 134,592,618,062,787,728
  5. Step 5: Solve for x
    x = 134,592,618,062,787,728/420,246,400.32
  6. Step 6: Final answer
    x = 320,270,722.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.