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Finding the Fourth Proportional to 525,212.60, 788,013.30 and 209,895.80

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Solution

The fourth proportional to 525,212.60, 788,013.30 and 209,895.80 is: 314,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,212.60 : 788,013.30 = 209,895.80 : x
  2. Step 2: Convert to fraction form
    525,212.60/788,013.30 = 209,895.80/x
  3. Step 3: Cross multiply
    525,212.60x = 788,013.30 × 209,895.80
  4. Step 4: Simplify right side
    525,212.60x = 165,400,682,014.14
  5. Step 5: Solve for x
    x = 165,400,682,014.14/525,212.60
  6. Step 6: Final answer
    x = 314,921.39

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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.