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Finding the Fourth Proportional to 272,405.60, 408,608.40 and 85,416.80

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Solution

The fourth proportional to 272,405.60, 408,608.40 and 85,416.80 is: 128,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,405.60 : 408,608.40 = 85,416.80 : x
  2. Step 2: Convert to fraction form
    272,405.60/408,608.40 = 85,416.80/x
  3. Step 3: Cross multiply
    272,405.60x = 408,608.40 × 85,416.80
  4. Step 4: Simplify right side
    272,405.60x = 34,902,021,981.12
  5. Step 5: Solve for x
    x = 34,902,021,981.12/272,405.60
  6. Step 6: Final answer
    x = 128,125.20

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1.5x scale

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.