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Finding the Fourth Proportional to 525,832.80, 788,457.60 and 209,932.80

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Solution

The fourth proportional to 525,832.80, 788,457.60 and 209,932.80 is: 314,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,832.80 : 788,457.60 = 209,932.80 : x
  2. Step 2: Convert to fraction form
    525,832.80/788,457.60 = 209,932.80/x
  3. Step 3: Cross multiply
    525,832.80x = 788,457.60 × 209,932.80
  4. Step 4: Simplify right side
    525,832.80x = 165,523,111,649.28
  5. Step 5: Solve for x
    x = 165,523,111,649.28/525,832.80
  6. Step 6: Final answer
    x = 314,782.78

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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.