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Finding the Fourth Proportional to 318,978.51, 478,451.86 and 119,284.21

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Solution

The fourth proportional to 318,978.51, 478,451.86 and 119,284.21 is: 178,920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,978.51 : 478,451.86 = 119,284.21 : x
  2. Step 2: Convert to fraction form
    318,978.51/478,451.86 = 119,284.21/x
  3. Step 3: Cross multiply
    318,978.51x = 478,451.86 × 119,284.21
  4. Step 4: Simplify right side
    318,978.51x = 57,071,753,113.96
  5. Step 5: Solve for x
    x = 57,071,753,113.96/318,978.51
  6. Step 6: Final answer
    x = 178,920.37

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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.