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Finding the Fourth Proportional to 407,098.27, 561,427.90 and 254,150.63

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Solution

The fourth proportional to 407,098.27, 561,427.90 and 254,150.63 is: 350,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,098.27 : 561,427.90 = 254,150.63 : x
  2. Step 2: Convert to fraction form
    407,098.27/561,427.90 = 254,150.63/x
  3. Step 3: Cross multiply
    407,098.27x = 561,427.90 × 254,150.63
  4. Step 4: Simplify right side
    407,098.27x = 142,687,254,484.58
  5. Step 5: Solve for x
    x = 142,687,254,484.58/407,098.27
  6. Step 6: Final answer
    x = 350,498.31

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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.