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Finding the Fourth Proportional to 456,705.42, 685,123.68 and 141,186.92

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Solution

The fourth proportional to 456,705.42, 685,123.68 and 141,186.92 is: 211,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,705.42 : 685,123.68 = 141,186.92 : x
  2. Step 2: Convert to fraction form
    456,705.42/685,123.68 = 141,186.92/x
  3. Step 3: Cross multiply
    456,705.42x = 685,123.68 × 141,186.92
  4. Step 4: Simplify right side
    456,705.42x = 96,730,502,198.27
  5. Step 5: Solve for x
    x = 96,730,502,198.27/456,705.42
  6. Step 6: Final answer
    x = 211,800.64

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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.