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Finding the Fourth Proportional to 407,077.14, 561,398.72 and 254,129.46

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Solution

The fourth proportional to 407,077.14, 561,398.72 and 254,129.46 is: 350,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,077.14 : 561,398.72 = 254,129.46 : x
  2. Step 2: Convert to fraction form
    407,077.14/561,398.72 = 254,129.46/x
  3. Step 3: Cross multiply
    407,077.14x = 561,398.72 × 254,129.46
  4. Step 4: Simplify right side
    407,077.14x = 142,667,953,558.29
  5. Step 5: Solve for x
    x = 142,667,953,558.29/407,077.14
  6. Step 6: Final answer
    x = 350,469.09

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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.