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Finding the Fourth Proportional to 407,071.34, 561,109.38 and 320,889.78

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Solution

The fourth proportional to 407,071.34, 561,109.38 and 320,889.78 is: 442,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,071.34 : 561,109.38 = 320,889.78 : x
  2. Step 2: Convert to fraction form
    407,071.34/561,109.38 = 320,889.78/x
  3. Step 3: Cross multiply
    407,071.34x = 561,109.38 × 320,889.78
  4. Step 4: Simplify right side
    407,071.34x = 180,054,265,504.14
  5. Step 5: Solve for x
    x = 180,054,265,504.14/407,071.34
  6. Step 6: Final answer
    x = 442,316.24

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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.