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Finding the Fourth Proportional to 312,929.16, 431,842.48 and 169,689.20

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Solution

The fourth proportional to 312,929.16, 431,842.48 and 169,689.20 is: 234,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,929.16 : 431,842.48 = 169,689.20 : x
  2. Step 2: Convert to fraction form
    312,929.16/431,842.48 = 169,689.20/x
  3. Step 3: Cross multiply
    312,929.16x = 431,842.48 × 169,689.20
  4. Step 4: Simplify right side
    312,929.16x = 73,279,004,957.22
  5. Step 5: Solve for x
    x = 73,279,004,957.22/312,929.16
  6. Step 6: Final answer
    x = 234,171.23

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1.5x scale

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.