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Finding the Fourth Proportional to 471,677.28, 707,097.72 and 338,221.68

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Solution

The fourth proportional to 471,677.28, 707,097.72 and 338,221.68 is: 507,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,677.28 : 707,097.72 = 338,221.68 : x
  2. Step 2: Convert to fraction form
    471,677.28/707,097.72 = 338,221.68/x
  3. Step 3: Cross multiply
    471,677.28x = 707,097.72 × 338,221.68
  4. Step 4: Simplify right side
    471,677.28x = 239,155,778,782.57
  5. Step 5: Solve for x
    x = 239,155,778,782.57/471,677.28
  6. Step 6: Final answer
    x = 507,032.64

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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.