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Finding the Fourth Proportional to 312,309.77, 430,987.63 and 169,069.81

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Solution

The fourth proportional to 312,309.77, 430,987.63 and 169,069.81 is: 233,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,309.77 : 430,987.63 = 169,069.81 : x
  2. Step 2: Convert to fraction form
    312,309.77/430,987.63 = 169,069.81/x
  3. Step 3: Cross multiply
    312,309.77x = 430,987.63 × 169,069.81
  4. Step 4: Simplify right side
    312,309.77x = 72,866,996,716.45
  5. Step 5: Solve for x
    x = 72,866,996,716.45/312,309.77
  6. Step 6: Final answer
    x = 233,316.42

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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.