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Finding the Fourth Proportional to 405,859.60, 569,447.60 and 405,859.60

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Solution

The fourth proportional to 405,859.60, 569,447.60 and 405,859.60 is: 569,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,859.60 : 569,447.60 = 405,859.60 : x
  2. Step 2: Convert to fraction form
    405,859.60/569,447.60 = 405,859.60/x
  3. Step 3: Cross multiply
    405,859.60x = 569,447.60 × 405,859.60
  4. Step 4: Simplify right side
    405,859.60x = 231,115,775,156.96
  5. Step 5: Solve for x
    x = 231,115,775,156.96/405,859.60
  6. Step 6: Final answer
    x = 569,447.60

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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.