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Finding the Fourth Proportional to 320,386.82, 480,580.26 and 120,752

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Solution

The fourth proportional to 320,386.82, 480,580.26 and 120,752 is: 181,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,386.82 : 480,580.26 = 120,752 : x
  2. Step 2: Convert to fraction form
    320,386.82/480,580.26 = 120,752/x
  3. Step 3: Cross multiply
    320,386.82x = 480,580.26 × 120,752
  4. Step 4: Simplify right side
    320,386.82x = 58,031,027,555.52
  5. Step 5: Solve for x
    x = 58,031,027,555.52/320,386.82
  6. Step 6: Final answer
    x = 181,128.01

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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.