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Finding the Fourth Proportional to 345,164, 516,998.16 and 167,298.92

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Solution

The fourth proportional to 345,164, 516,998.16 and 167,298.92 is: 250,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,164 : 516,998.16 = 167,298.92 : x
  2. Step 2: Convert to fraction form
    345,164/516,998.16 = 167,298.92/x
  3. Step 3: Cross multiply
    345,164x = 516,998.16 × 167,298.92
  4. Step 4: Simplify right side
    345,164x = 86,493,233,809.99
  5. Step 5: Solve for x
    x = 86,493,233,809.99/345,164
  6. Step 6: Final answer
    x = 250,585.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.