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Finding the Fourth Proportional to 318,984.82, 478,461.32 and 119,290.54

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Solution

The fourth proportional to 318,984.82, 478,461.32 and 119,290.54 is: 178,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,984.82 : 478,461.32 = 119,290.54 : x
  2. Step 2: Convert to fraction form
    318,984.82/478,461.32 = 119,290.54/x
  3. Step 3: Cross multiply
    318,984.82x = 478,461.32 × 119,290.54
  4. Step 4: Simplify right side
    318,984.82x = 57,075,909,231.91
  5. Step 5: Solve for x
    x = 57,075,909,231.91/318,984.82
  6. Step 6: Final answer
    x = 178,929.86

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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.