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Finding the Fourth Proportional to 390,314.54, 585,668.61 and 153,826.70

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Solution

The fourth proportional to 390,314.54, 585,668.61 and 153,826.70 is: 230,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,314.54 : 585,668.61 = 153,826.70 : x
  2. Step 2: Convert to fraction form
    390,314.54/585,668.61 = 153,826.70/x
  3. Step 3: Cross multiply
    390,314.54x = 585,668.61 × 153,826.70
  4. Step 4: Simplify right side
    390,314.54x = 90,091,469,569.89
  5. Step 5: Solve for x
    x = 90,091,469,569.89/390,314.54
  6. Step 6: Final answer
    x = 230,817.61

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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.