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Finding the Fourth Proportional to 512,983.14, 707,915.25 and 286,628.82

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Solution

The fourth proportional to 512,983.14, 707,915.25 and 286,628.82 is: 395,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,983.14 : 707,915.25 = 286,628.82 : x
  2. Step 2: Convert to fraction form
    512,983.14/707,915.25 = 286,628.82/x
  3. Step 3: Cross multiply
    512,983.14x = 707,915.25 × 286,628.82
  4. Step 4: Simplify right side
    512,983.14x = 202,908,912,767.51
  5. Step 5: Solve for x
    x = 202,908,912,767.51/512,983.14
  6. Step 6: Final answer
    x = 395,546.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.