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Finding the Fourth Proportional to 525,896.28, 788,275.71 and 210,006

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Solution

The fourth proportional to 525,896.28, 788,275.71 and 210,006 is: 314,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,896.28 : 788,275.71 = 210,006 : x
  2. Step 2: Convert to fraction form
    525,896.28/788,275.71 = 210,006/x
  3. Step 3: Cross multiply
    525,896.28x = 788,275.71 × 210,006
  4. Step 4: Simplify right side
    525,896.28x = 165,542,628,754.26
  5. Step 5: Solve for x
    x = 165,542,628,754.26/525,896.28
  6. Step 6: Final answer
    x = 314,781.90

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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.