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Finding the Fourth Proportional to 376,416.21, 564,505.34 and 123,655.17

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Solution

The fourth proportional to 376,416.21, 564,505.34 and 123,655.17 is: 185,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,416.21 : 564,505.34 = 123,655.17 : x
  2. Step 2: Convert to fraction form
    376,416.21/564,505.34 = 123,655.17/x
  3. Step 3: Cross multiply
    376,416.21x = 564,505.34 × 123,655.17
  4. Step 4: Simplify right side
    376,416.21x = 69,804,003,165.33
  5. Step 5: Solve for x
    x = 69,804,003,165.33/376,416.21
  6. Step 6: Final answer
    x = 185,443.67

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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.