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Finding the Fourth Proportional to 411,999.20, 618,459.60 and 384,927.20

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Solution

The fourth proportional to 411,999.20, 618,459.60 and 384,927.20 is: 577,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,999.20 : 618,459.60 = 384,927.20 : x
  2. Step 2: Convert to fraction form
    411,999.20/618,459.60 = 384,927.20/x
  3. Step 3: Cross multiply
    411,999.20x = 618,459.60 × 384,927.20
  4. Step 4: Simplify right side
    411,999.20x = 238,061,922,141.12
  5. Step 5: Solve for x
    x = 238,061,922,141.12/411,999.20
  6. Step 6: Final answer
    x = 577,821.32

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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.