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Finding the Fourth Proportional to 320,476.99, 480,678.77 and 83,842.51

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Solution

The fourth proportional to 320,476.99, 480,678.77 and 83,842.51 is: 125,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,476.99 : 480,678.77 = 83,842.51 : x
  2. Step 2: Convert to fraction form
    320,476.99/480,678.77 = 83,842.51/x
  3. Step 3: Cross multiply
    320,476.99x = 480,678.77 × 83,842.51
  4. Step 4: Simplify right side
    320,476.99x = 40,301,314,161.30
  5. Step 5: Solve for x
    x = 40,301,314,161.30/320,476.99
  6. Step 6: Final answer
    x = 125,754.16

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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.