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Finding the Fourth Proportional to 390,069.61, 585,194.22 and 165,438.79

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Solution

The fourth proportional to 390,069.61, 585,194.22 and 165,438.79 is: 248,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,069.61 : 585,194.22 = 165,438.79 : x
  2. Step 2: Convert to fraction form
    390,069.61/585,194.22 = 165,438.79/x
  3. Step 3: Cross multiply
    390,069.61x = 585,194.22 × 165,438.79
  4. Step 4: Simplify right side
    390,069.61x = 96,813,822,208.81
  5. Step 5: Solve for x
    x = 96,813,822,208.81/390,069.61
  6. Step 6: Final answer
    x = 248,196.27

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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.