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Finding the Fourth Proportional to 307,805.92, 424,658.10 and 180,435.04

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Solution

The fourth proportional to 307,805.92, 424,658.10 and 180,435.04 is: 248,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,805.92 : 424,658.10 = 180,435.04 : x
  2. Step 2: Convert to fraction form
    307,805.92/424,658.10 = 180,435.04/x
  3. Step 3: Cross multiply
    307,805.92x = 424,658.10 × 180,435.04
  4. Step 4: Simplify right side
    307,805.92x = 76,623,201,259.82
  5. Step 5: Solve for x
    x = 76,623,201,259.82/307,805.92
  6. Step 6: Final answer
    x = 248,933.49

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1.5x scale

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.