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Finding the Fourth Proportional to 312,705.80, 431,534.36 and 169,465.84

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Solution

The fourth proportional to 312,705.80, 431,534.36 and 169,465.84 is: 233,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,705.80 : 431,534.36 = 169,465.84 : x
  2. Step 2: Convert to fraction form
    312,705.80/431,534.36 = 169,465.84/x
  3. Step 3: Cross multiply
    312,705.80x = 431,534.36 × 169,465.84
  4. Step 4: Simplify right side
    312,705.80x = 73,130,332,151.09
  5. Step 5: Solve for x
    x = 73,130,332,151.09/312,705.80
  6. Step 6: Final answer
    x = 233,863.05

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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.