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Finding the Fourth Proportional to 320,779.20, 480,650.40 and 202,238.40

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Solution

The fourth proportional to 320,779.20, 480,650.40 and 202,238.40 is: 303,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,779.20 : 480,650.40 = 202,238.40 : x
  2. Step 2: Convert to fraction form
    320,779.20/480,650.40 = 202,238.40/x
  3. Step 3: Cross multiply
    320,779.20x = 480,650.40 × 202,238.40
  4. Step 4: Simplify right side
    320,779.20x = 97,205,967,855.36
  5. Step 5: Solve for x
    x = 97,205,967,855.36/320,779.20
  6. Step 6: Final answer
    x = 303,030.77

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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.