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Finding the Fourth Proportional to 497,779.40, 746,665.58 and 142,793.80

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Solution

The fourth proportional to 497,779.40, 746,665.58 and 142,793.80 is: 214,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,779.40 : 746,665.58 = 142,793.80 : x
  2. Step 2: Convert to fraction form
    497,779.40/746,665.58 = 142,793.80/x
  3. Step 3: Cross multiply
    497,779.40x = 746,665.58 × 142,793.80
  4. Step 4: Simplify right side
    497,779.40x = 106,619,215,497.40
  5. Step 5: Solve for x
    x = 106,619,215,497.40/497,779.40
  6. Step 6: Final answer
    x = 214,189.69

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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.