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Finding the Fourth Proportional to 407,070.75, 561,390 and 254,123.14

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Solution

The fourth proportional to 407,070.75, 561,390 and 254,123.14 is: 350,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,070.75 : 561,390 = 254,123.14 : x
  2. Step 2: Convert to fraction form
    407,070.75/561,390 = 254,123.14/x
  3. Step 3: Cross multiply
    407,070.75x = 561,390 × 254,123.14
  4. Step 4: Simplify right side
    407,070.75x = 142,662,189,564.60
  5. Step 5: Solve for x
    x = 142,662,189,564.60/407,070.75
  6. Step 6: Final answer
    x = 350,460.43

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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.