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Finding the Fourth Proportional to 525,164.70, 788,135.85 and 209,847.90

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Solution

The fourth proportional to 525,164.70, 788,135.85 and 209,847.90 is: 314,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,164.70 : 788,135.85 = 209,847.90 : x
  2. Step 2: Convert to fraction form
    525,164.70/788,135.85 = 209,847.90/x
  3. Step 3: Cross multiply
    525,164.70x = 788,135.85 × 209,847.90
  4. Step 4: Simplify right side
    525,164.70x = 165,388,653,037.22
  5. Step 5: Solve for x
    x = 165,388,653,037.22/525,164.70
  6. Step 6: Final answer
    x = 314,927.21

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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.