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Finding the Fourth Proportional to 385,954.16, 578,696.81 and 172,682.36

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Solution

The fourth proportional to 385,954.16, 578,696.81 and 172,682.36 is: 258,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,954.16 : 578,696.81 = 172,682.36 : x
  2. Step 2: Convert to fraction form
    385,954.16/578,696.81 = 172,682.36/x
  3. Step 3: Cross multiply
    385,954.16x = 578,696.81 × 172,682.36
  4. Step 4: Simplify right side
    385,954.16x = 99,930,729,288.49
  5. Step 5: Solve for x
    x = 99,930,729,288.49/385,954.16
  6. Step 6: Final answer
    x = 258,918.65

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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.