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Finding the Fourth Proportional to 255,296.48, 382,959.12 and 77,809.28

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Solution

The fourth proportional to 255,296.48, 382,959.12 and 77,809.28 is: 116,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,296.48 : 382,959.12 = 77,809.28 : x
  2. Step 2: Convert to fraction form
    255,296.48/382,959.12 = 77,809.28/x
  3. Step 3: Cross multiply
    255,296.48x = 382,959.12 × 77,809.28
  4. Step 4: Simplify right side
    255,296.48x = 29,797,771,481.84
  5. Step 5: Solve for x
    x = 29,797,771,481.84/255,296.48
  6. Step 6: Final answer
    x = 116,718.30

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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.