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Finding the Fourth Proportional to 456,872.78, 685,355.06 and 157,313.72

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Solution

The fourth proportional to 456,872.78, 685,355.06 and 157,313.72 is: 235,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,872.78 : 685,355.06 = 157,313.72 : x
  2. Step 2: Convert to fraction form
    456,872.78/685,355.06 = 157,313.72/x
  3. Step 3: Cross multiply
    456,872.78x = 685,355.06 × 157,313.72
  4. Step 4: Simplify right side
    456,872.78x = 107,815,754,009.42
  5. Step 5: Solve for x
    x = 107,815,754,009.42/456,872.78
  6. Step 6: Final answer
    x = 235,986.38

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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.