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Finding the Fourth Proportional to 414,779.80, 621,708.90 and 178,082.20

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Solution

The fourth proportional to 414,779.80, 621,708.90 and 178,082.20 is: 266,925.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,779.80 : 621,708.90 = 178,082.20 : x
  2. Step 2: Convert to fraction form
    414,779.80/621,708.90 = 178,082.20/x
  3. Step 3: Cross multiply
    414,779.80x = 621,708.90 × 178,082.20
  4. Step 4: Simplify right side
    414,779.80x = 110,715,288,671.58
  5. Step 5: Solve for x
    x = 110,715,288,671.58/414,779.80
  6. Step 6: Final answer
    x = 266,925.46

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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.