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Finding the Fourth Proportional to 413,739, 570,984.12 and 311,584.14

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Solution

The fourth proportional to 413,739, 570,984.12 and 311,584.14 is: 430,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,739 : 570,984.12 = 311,584.14 : x
  2. Step 2: Convert to fraction form
    413,739/570,984.12 = 311,584.14/x
  3. Step 3: Cross multiply
    413,739x = 570,984.12 × 311,584.14
  4. Step 4: Simplify right side
    413,739x = 177,909,595,983.86
  5. Step 5: Solve for x
    x = 177,909,595,983.86/413,739
  6. Step 6: Final answer
    x = 430,004.41

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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.