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Finding the Fourth Proportional to 576,142.30, 863,725.44 and 238,972.51

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Solution

The fourth proportional to 576,142.30, 863,725.44 and 238,972.51 is: 358,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,142.30 : 863,725.44 = 238,972.51 : x
  2. Step 2: Convert to fraction form
    576,142.30/863,725.44 = 238,972.51/x
  3. Step 3: Cross multiply
    576,142.30x = 863,725.44 × 238,972.51
  4. Step 4: Simplify right side
    576,142.30x = 206,406,636,347.65
  5. Step 5: Solve for x
    x = 206,406,636,347.65/576,142.30
  6. Step 6: Final answer
    x = 358,256.35

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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.