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Finding the Fourth Proportional to 366,428.80, 549,323.20 and 141,942.40

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Solution

The fourth proportional to 366,428.80, 549,323.20 and 141,942.40 is: 212,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,428.80 : 549,323.20 = 141,942.40 : x
  2. Step 2: Convert to fraction form
    366,428.80/549,323.20 = 141,942.40/x
  3. Step 3: Cross multiply
    366,428.80x = 549,323.20 × 141,942.40
  4. Step 4: Simplify right side
    366,428.80x = 77,972,253,383.68
  5. Step 5: Solve for x
    x = 77,972,253,383.68/366,428.80
  6. Step 6: Final answer
    x = 212,789.64

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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.