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Finding the Fourth Proportional to 411,978.60, 617,967.90 and 253,693.80

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Solution

The fourth proportional to 411,978.60, 617,967.90 and 253,693.80 is: 380,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,978.60 : 617,967.90 = 253,693.80 : x
  2. Step 2: Convert to fraction form
    411,978.60/617,967.90 = 253,693.80/x
  3. Step 3: Cross multiply
    411,978.60x = 617,967.90 × 253,693.80
  4. Step 4: Simplify right side
    411,978.60x = 156,774,624,829.02
  5. Step 5: Solve for x
    x = 156,774,624,829.02/411,978.60
  6. Step 6: Final answer
    x = 380,540.70

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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.