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Finding the Fourth Proportional to 307,420, 424,239.60 and 173,284

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Solution

The fourth proportional to 307,420, 424,239.60 and 173,284 is: 239,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,420 : 424,239.60 = 173,284 : x
  2. Step 2: Convert to fraction form
    307,420/424,239.60 = 173,284/x
  3. Step 3: Cross multiply
    307,420x = 424,239.60 × 173,284
  4. Step 4: Simplify right side
    307,420x = 73,513,934,846.40
  5. Step 5: Solve for x
    x = 73,513,934,846.40/307,420
  6. Step 6: Final answer
    x = 239,131.92

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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.