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Finding the Fourth Proportional to 376,319.64, 564,577.80 and 218,396.40

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Solution

The fourth proportional to 376,319.64, 564,577.80 and 218,396.40 is: 327,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,319.64 : 564,577.80 = 218,396.40 : x
  2. Step 2: Convert to fraction form
    376,319.64/564,577.80 = 218,396.40/x
  3. Step 3: Cross multiply
    376,319.64x = 564,577.80 × 218,396.40
  4. Step 4: Simplify right side
    376,319.64x = 123,301,759,039.92
  5. Step 5: Solve for x
    x = 123,301,759,039.92/376,319.64
  6. Step 6: Final answer
    x = 327,651.67

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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.