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Finding the Fourth Proportional to 307,435.72, 458,097.40 and 273,898.08

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Solution

The fourth proportional to 307,435.72, 458,097.40 and 273,898.08 is: 408,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,435.72 : 458,097.40 = 273,898.08 : x
  2. Step 2: Convert to fraction form
    307,435.72/458,097.40 = 273,898.08/x
  3. Step 3: Cross multiply
    307,435.72x = 458,097.40 × 273,898.08
  4. Step 4: Simplify right side
    307,435.72x = 125,471,998,312.99
  5. Step 5: Solve for x
    x = 125,471,998,312.99/307,435.72
  6. Step 6: Final answer
    x = 408,124.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.