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Finding the Fourth Proportional to 307,804.92, 424,656.72 and 180,434.04

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Solution

The fourth proportional to 307,804.92, 424,656.72 and 180,434.04 is: 248,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,804.92 : 424,656.72 = 180,434.04 : x
  2. Step 2: Convert to fraction form
    307,804.92/424,656.72 = 180,434.04/x
  3. Step 3: Cross multiply
    307,804.92x = 424,656.72 × 180,434.04
  4. Step 4: Simplify right side
    307,804.92x = 76,622,527,602.75
  5. Step 5: Solve for x
    x = 76,622,527,602.75/307,804.92
  6. Step 6: Final answer
    x = 248,932.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.