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Finding the Fourth Proportional to 525,698.80, 788,116.20 and 226,409.20

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Solution

The fourth proportional to 525,698.80, 788,116.20 and 226,409.20 is: 339,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,698.80 : 788,116.20 = 226,409.20 : x
  2. Step 2: Convert to fraction form
    525,698.80/788,116.20 = 226,409.20/x
  3. Step 3: Cross multiply
    525,698.80x = 788,116.20 × 226,409.20
  4. Step 4: Simplify right side
    525,698.80x = 178,436,758,349.04
  5. Step 5: Solve for x
    x = 178,436,758,349.04/525,698.80
  6. Step 6: Final answer
    x = 339,427.75

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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.