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Finding the Fourth Proportional to 388,414.30, 581,637.30 and 309,682.30

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Solution

The fourth proportional to 388,414.30, 581,637.30 and 309,682.30 is: 463,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,414.30 : 581,637.30 = 309,682.30 : x
  2. Step 2: Convert to fraction form
    388,414.30/581,637.30 = 309,682.30/x
  3. Step 3: Cross multiply
    388,414.30x = 581,637.30 × 309,682.30
  4. Step 4: Simplify right side
    388,414.30x = 180,122,776,829.79
  5. Step 5: Solve for x
    x = 180,122,776,829.79/388,414.30
  6. Step 6: Final answer
    x = 463,738.79

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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.