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Finding the Fourth Proportional to 307,109.16, 423,793.12 and 169,260.71

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Solution

The fourth proportional to 307,109.16, 423,793.12 and 169,260.71 is: 233,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,109.16 : 423,793.12 = 169,260.71 : x
  2. Step 2: Convert to fraction form
    307,109.16/423,793.12 = 169,260.71/x
  3. Step 3: Cross multiply
    307,109.16x = 423,793.12 × 169,260.71
  4. Step 4: Simplify right side
    307,109.16x = 71,731,524,384.32
  5. Step 5: Solve for x
    x = 71,731,524,384.32/307,109.16
  6. Step 6: Final answer
    x = 233,570.12

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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.