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Finding the Fourth Proportional to 390,521.76, 585,667.82 and 165,880.41

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Solution

The fourth proportional to 390,521.76, 585,667.82 and 165,880.41 is: 248,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,521.76 : 585,667.82 = 165,880.41 : x
  2. Step 2: Convert to fraction form
    390,521.76/585,667.82 = 165,880.41/x
  3. Step 3: Cross multiply
    390,521.76x = 585,667.82 × 165,880.41
  4. Step 4: Simplify right side
    390,521.76x = 97,150,815,390.78
  5. Step 5: Solve for x
    x = 97,150,815,390.78/390,521.76
  6. Step 6: Final answer
    x = 248,771.84

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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.