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Finding the Fourth Proportional to 405,905.60, 569,512 and 405,905.60

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Solution

The fourth proportional to 405,905.60, 569,512 and 405,905.60 is: 569,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,905.60 : 569,512 = 405,905.60 : x
  2. Step 2: Convert to fraction form
    405,905.60/569,512 = 405,905.60/x
  3. Step 3: Cross multiply
    405,905.60x = 569,512 × 405,905.60
  4. Step 4: Simplify right side
    405,905.60x = 231,168,110,067.20
  5. Step 5: Solve for x
    x = 231,168,110,067.20/405,905.60
  6. Step 6: Final answer
    x = 569,512

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.