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Finding the Fourth Proportional to 390,226.68, 585,326.66 and 165,442.37

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Solution

The fourth proportional to 390,226.68, 585,326.66 and 165,442.37 is: 248,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,226.68 : 585,326.66 = 165,442.37 : x
  2. Step 2: Convert to fraction form
    390,226.68/585,326.66 = 165,442.37/x
  3. Step 3: Cross multiply
    390,226.68x = 585,326.66 × 165,442.37
  4. Step 4: Simplify right side
    390,226.68x = 96,837,826,100.74
  5. Step 5: Solve for x
    x = 96,837,826,100.74/390,226.68
  6. Step 6: Final answer
    x = 248,157.88

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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.