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Finding the Fourth Proportional to 318,947.61, 478,717.88 and 161,289.21

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Solution

The fourth proportional to 318,947.61, 478,717.88 and 161,289.21 is: 242,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,947.61 : 478,717.88 = 161,289.21 : x
  2. Step 2: Convert to fraction form
    318,947.61/478,717.88 = 161,289.21/x
  3. Step 3: Cross multiply
    318,947.61x = 478,717.88 × 161,289.21
  4. Step 4: Simplify right side
    318,947.61x = 77,212,027,871.63
  5. Step 5: Solve for x
    x = 77,212,027,871.63/318,947.61
  6. Step 6: Final answer
    x = 242,083.73

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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.