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Finding the Fourth Proportional to 390,528.96, 585,124.80 and 213,160.56

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Solution

The fourth proportional to 390,528.96, 585,124.80 and 213,160.56 is: 319,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,528.96 : 585,124.80 = 213,160.56 : x
  2. Step 2: Convert to fraction form
    390,528.96/585,124.80 = 213,160.56/x
  3. Step 3: Cross multiply
    390,528.96x = 585,124.80 × 213,160.56
  4. Step 4: Simplify right side
    390,528.96x = 124,725,530,037.89
  5. Step 5: Solve for x
    x = 124,725,530,037.89/390,528.96
  6. Step 6: Final answer
    x = 319,375.88

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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.