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Finding the Fourth Proportional to 254,889.79, 382,309.97 and 77,398.36

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Solution

The fourth proportional to 254,889.79, 382,309.97 and 77,398.36 is: 116,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,889.79 : 382,309.97 = 77,398.36 : x
  2. Step 2: Convert to fraction form
    254,889.79/382,309.97 = 77,398.36/x
  3. Step 3: Cross multiply
    254,889.79x = 382,309.97 × 77,398.36
  4. Step 4: Simplify right side
    254,889.79x = 29,590,164,689.65
  5. Step 5: Solve for x
    x = 29,590,164,689.65/254,889.79
  6. Step 6: Final answer
    x = 116,090.04

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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.