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Finding the Fourth Proportional to 318,890.44, 478,007.52 and 141,481

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Solution

The fourth proportional to 318,890.44, 478,007.52 and 141,481 is: 212,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,890.44 : 478,007.52 = 141,481 : x
  2. Step 2: Convert to fraction form
    318,890.44/478,007.52 = 141,481/x
  3. Step 3: Cross multiply
    318,890.44x = 478,007.52 × 141,481
  4. Step 4: Simplify right side
    318,890.44x = 67,628,981,937.12
  5. Step 5: Solve for x
    x = 67,628,981,937.12/318,890.44
  6. Step 6: Final answer
    x = 212,075.92

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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.