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Finding the Fourth Proportional to 312,537.99, 431,304.51 and 169,298.04

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Solution

The fourth proportional to 312,537.99, 431,304.51 and 169,298.04 is: 233,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,537.99 : 431,304.51 = 169,298.04 : x
  2. Step 2: Convert to fraction form
    312,537.99/431,304.51 = 169,298.04/x
  3. Step 3: Cross multiply
    312,537.99x = 431,304.51 × 169,298.04
  4. Step 4: Simplify right side
    312,537.99x = 73,019,008,186.16
  5. Step 5: Solve for x
    x = 73,019,008,186.16/312,537.99
  6. Step 6: Final answer
    x = 233,632.42

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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.