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Finding the Fourth Proportional to 270,869.36, 406,697.70 and 200,010.56

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Solution

The fourth proportional to 270,869.36, 406,697.70 and 200,010.56 is: 300,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,869.36 : 406,697.70 = 200,010.56 : x
  2. Step 2: Convert to fraction form
    270,869.36/406,697.70 = 200,010.56/x
  3. Step 3: Cross multiply
    270,869.36x = 406,697.70 × 200,010.56
  4. Step 4: Simplify right side
    270,869.36x = 81,343,834,727.71
  5. Step 5: Solve for x
    x = 81,343,834,727.71/270,869.36
  6. Step 6: Final answer
    x = 300,306.52

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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.