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Finding the Fourth Proportional to 314,407.01, 434,322.72 and 280,404.56

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Solution

The fourth proportional to 314,407.01, 434,322.72 and 280,404.56 is: 387,351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,407.01 : 434,322.72 = 280,404.56 : x
  2. Step 2: Convert to fraction form
    314,407.01/434,322.72 = 280,404.56/x
  3. Step 3: Cross multiply
    314,407.01x = 434,322.72 × 280,404.56
  4. Step 4: Simplify right side
    314,407.01x = 121,786,069,027.99
  5. Step 5: Solve for x
    x = 121,786,069,027.99/314,407.01
  6. Step 6: Final answer
    x = 387,351.64

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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.