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Finding the Fourth Proportional to 525,899.28, 788,280.20 and 210,009

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Solution

The fourth proportional to 525,899.28, 788,280.20 and 210,009 is: 314,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,899.28 : 788,280.20 = 210,009 : x
  2. Step 2: Convert to fraction form
    525,899.28/788,280.20 = 210,009/x
  3. Step 3: Cross multiply
    525,899.28x = 788,280.20 × 210,009
  4. Step 4: Simplify right side
    525,899.28x = 165,545,936,521.80
  5. Step 5: Solve for x
    x = 165,545,936,521.80/525,899.28
  6. Step 6: Final answer
    x = 314,786.39

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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.