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Finding the Fourth Proportional to 456,774.96, 685,208.20 and 157,215.90

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Solution

The fourth proportional to 456,774.96, 685,208.20 and 157,215.90 is: 235,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,774.96 : 685,208.20 = 157,215.90 : x
  2. Step 2: Convert to fraction form
    456,774.96/685,208.20 = 157,215.90/x
  3. Step 3: Cross multiply
    456,774.96x = 685,208.20 × 157,215.90
  4. Step 4: Simplify right side
    456,774.96x = 107,725,623,850.38
  5. Step 5: Solve for x
    x = 107,725,623,850.38/456,774.96
  6. Step 6: Final answer
    x = 235,839.60

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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.