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Finding the Fourth Proportional to 484,100.30, 725,486.14 and 306,289

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Solution

The fourth proportional to 484,100.30, 725,486.14 and 306,289 is: 459,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,100.30 : 725,486.14 = 306,289 : x
  2. Step 2: Convert to fraction form
    484,100.30/725,486.14 = 306,289/x
  3. Step 3: Cross multiply
    484,100.30x = 725,486.14 × 306,289
  4. Step 4: Simplify right side
    484,100.30x = 222,208,424,334.46
  5. Step 5: Solve for x
    x = 222,208,424,334.46/484,100.30
  6. Step 6: Final answer
    x = 459,013.19

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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.