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Finding the Fourth Proportional to 411,978.80, 617,968.20 and 299,129.60

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Solution

The fourth proportional to 411,978.80, 617,968.20 and 299,129.60 is: 448,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,978.80 : 617,968.20 = 299,129.60 : x
  2. Step 2: Convert to fraction form
    411,978.80/617,968.20 = 299,129.60/x
  3. Step 3: Cross multiply
    411,978.80x = 617,968.20 × 299,129.60
  4. Step 4: Simplify right side
    411,978.80x = 184,852,580,478.72
  5. Step 5: Solve for x
    x = 184,852,580,478.72/411,978.80
  6. Step 6: Final answer
    x = 448,694.40

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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.