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Finding the Fourth Proportional to 577,314.40, 864,805.20 and 400,021.60

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Solution

The fourth proportional to 577,314.40, 864,805.20 and 400,021.60 is: 599,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,314.40 : 864,805.20 = 400,021.60 : x
  2. Step 2: Convert to fraction form
    577,314.40/864,805.20 = 400,021.60/x
  3. Step 3: Cross multiply
    577,314.40x = 864,805.20 × 400,021.60
  4. Step 4: Simplify right side
    577,314.40x = 345,940,759,792.32
  5. Step 5: Solve for x
    x = 345,940,759,792.32/577,314.40
  6. Step 6: Final answer
    x = 599,224.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.