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Finding the Fourth Proportional to 320,137.40, 480,507.42 and 162,479

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Solution

The fourth proportional to 320,137.40, 480,507.42 and 162,479 is: 243,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,137.40 : 480,507.42 = 162,479 : x
  2. Step 2: Convert to fraction form
    320,137.40/480,507.42 = 162,479/x
  3. Step 3: Cross multiply
    320,137.40x = 480,507.42 × 162,479
  4. Step 4: Simplify right side
    320,137.40x = 78,072,365,094.18
  5. Step 5: Solve for x
    x = 78,072,365,094.18/320,137.40
  6. Step 6: Final answer
    x = 243,871.43

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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.