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Finding the Fourth Proportional to 390,530.96, 585,127.80 and 213,162.56

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Solution

The fourth proportional to 390,530.96, 585,127.80 and 213,162.56 is: 319,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,530.96 : 585,127.80 = 213,162.56 : x
  2. Step 2: Convert to fraction form
    390,530.96/585,127.80 = 213,162.56/x
  3. Step 3: Cross multiply
    390,530.96x = 585,127.80 × 213,162.56
  4. Step 4: Simplify right side
    390,530.96x = 124,727,339,775.17
  5. Step 5: Solve for x
    x = 124,727,339,775.17/390,530.96
  6. Step 6: Final answer
    x = 319,378.88

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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.