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Finding the Fourth Proportional to 320,145.40, 480,242.40 and 95,488.26

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Solution

The fourth proportional to 320,145.40, 480,242.40 and 95,488.26 is: 143,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,145.40 : 480,242.40 = 95,488.26 : x
  2. Step 2: Convert to fraction form
    320,145.40/480,242.40 = 95,488.26/x
  3. Step 3: Cross multiply
    320,145.40x = 480,242.40 × 95,488.26
  4. Step 4: Simplify right side
    320,145.40x = 45,857,511,154.22
  5. Step 5: Solve for x
    x = 45,857,511,154.22/320,145.40
  6. Step 6: Final answer
    x = 143,239.64

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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.