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Finding the Fourth Proportional to 315,806.09, 435,813.51 and 172,566.13

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Solution

The fourth proportional to 315,806.09, 435,813.51 and 172,566.13 is: 238,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,806.09 : 435,813.51 = 172,566.13 : x
  2. Step 2: Convert to fraction form
    315,806.09/435,813.51 = 172,566.13/x
  3. Step 3: Cross multiply
    315,806.09x = 435,813.51 × 172,566.13
  4. Step 4: Simplify right side
    315,806.09x = 75,206,651,197.16
  5. Step 5: Solve for x
    x = 75,206,651,197.16/315,806.09
  6. Step 6: Final answer
    x = 238,141.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.