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Finding the Fourth Proportional to 390,522.26, 585,668.57 and 165,880.91

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Solution

The fourth proportional to 390,522.26, 585,668.57 and 165,880.91 is: 248,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,522.26 : 585,668.57 = 165,880.91 : x
  2. Step 2: Convert to fraction form
    390,522.26/585,668.57 = 165,880.91/x
  3. Step 3: Cross multiply
    390,522.26x = 585,668.57 × 165,880.91
  4. Step 4: Simplify right side
    390,522.26x = 97,151,231,592.25
  5. Step 5: Solve for x
    x = 97,151,231,592.25/390,522.26
  6. Step 6: Final answer
    x = 248,772.59

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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.