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Finding the Fourth Proportional to 380,401.88, 524,954.59 and 210,636

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Solution

The fourth proportional to 380,401.88, 524,954.59 and 210,636 is: 290,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,401.88 : 524,954.59 = 210,636 : x
  2. Step 2: Convert to fraction form
    380,401.88/524,954.59 = 210,636/x
  3. Step 3: Cross multiply
    380,401.88x = 524,954.59 × 210,636
  4. Step 4: Simplify right side
    380,401.88x = 110,574,334,492.65
  5. Step 5: Solve for x
    x = 110,574,334,492.65/380,401.88
  6. Step 6: Final answer
    x = 290,677.68

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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.