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Finding the Fourth Proportional to 390,265.34, 585,436.97 and 105,960.47

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Solution

The fourth proportional to 390,265.34, 585,436.97 and 105,960.47 is: 158,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,265.34 : 585,436.97 = 105,960.47 : x
  2. Step 2: Convert to fraction form
    390,265.34/585,436.97 = 105,960.47/x
  3. Step 3: Cross multiply
    390,265.34x = 585,436.97 × 105,960.47
  4. Step 4: Simplify right side
    390,265.34x = 62,033,173,834.29
  5. Step 5: Solve for x
    x = 62,033,173,834.29/390,265.34
  6. Step 6: Final answer
    x = 158,951.28

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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.