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Finding the Fourth Proportional to 546,779.40, 820,169.10 and 307,630.95

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Solution

The fourth proportional to 546,779.40, 820,169.10 and 307,630.95 is: 461,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,779.40 : 820,169.10 = 307,630.95 : x
  2. Step 2: Convert to fraction form
    546,779.40/820,169.10 = 307,630.95/x
  3. Step 3: Cross multiply
    546,779.40x = 820,169.10 × 307,630.95
  4. Step 4: Simplify right side
    546,779.40x = 252,309,399,393.65
  5. Step 5: Solve for x
    x = 252,309,399,393.65/546,779.40
  6. Step 6: Final answer
    x = 461,446.43

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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.