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Finding the Fourth Proportional to 407,065.67, 561,383.10 and 254,117.96

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Solution

The fourth proportional to 407,065.67, 561,383.10 and 254,117.96 is: 350,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,065.67 : 561,383.10 = 254,117.96 : x
  2. Step 2: Convert to fraction form
    407,065.67/561,383.10 = 254,117.96/x
  3. Step 3: Cross multiply
    407,065.67x = 561,383.10 × 254,117.96
  4. Step 4: Simplify right side
    407,065.67x = 142,657,528,150.48
  5. Step 5: Solve for x
    x = 142,657,528,150.48/407,065.67
  6. Step 6: Final answer
    x = 350,453.35

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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.