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Finding the Fourth Proportional to 456,774.09, 685,206.89 and 157,215.03

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Solution

The fourth proportional to 456,774.09, 685,206.89 and 157,215.03 is: 235,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,774.09 : 685,206.89 = 157,215.03 : x
  2. Step 2: Convert to fraction form
    456,774.09/685,206.89 = 157,215.03/x
  3. Step 3: Cross multiply
    456,774.09x = 685,206.89 × 157,215.03
  4. Step 4: Simplify right side
    456,774.09x = 107,724,821,767.56
  5. Step 5: Solve for x
    x = 107,724,821,767.56/456,774.09
  6. Step 6: Final answer
    x = 235,838.29

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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.