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Finding the Fourth Proportional to 390,308.21, 585,063.51 and 221,471.87

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Solution

The fourth proportional to 390,308.21, 585,063.51 and 221,471.87 is: 331,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,308.21 : 585,063.51 = 221,471.87 : x
  2. Step 2: Convert to fraction form
    390,308.21/585,063.51 = 221,471.87/x
  3. Step 3: Cross multiply
    390,308.21x = 585,063.51 × 221,471.87
  4. Step 4: Simplify right side
    390,308.21x = 129,575,109,628.46
  5. Step 5: Solve for x
    x = 129,575,109,628.46/390,308.21
  6. Step 6: Final answer
    x = 331,981.51

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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.