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Finding the Fourth Proportional to 737,779.20, 1,107,705.60 and 457,843.20

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Solution

The fourth proportional to 737,779.20, 1,107,705.60 and 457,843.20 is: 687,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,779.20 : 1,107,705.60 = 457,843.20 : x
  2. Step 2: Convert to fraction form
    737,779.20/1,107,705.60 = 457,843.20/x
  3. Step 3: Cross multiply
    737,779.20x = 1,107,705.60 × 457,843.20
  4. Step 4: Simplify right side
    737,779.20x = 507,155,476,561.92
  5. Step 5: Solve for x
    x = 507,155,476,561.92/737,779.20
  6. Step 6: Final answer
    x = 687,408.21

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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.