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Finding the Fourth Proportional to 432,820.80, 649,231.20 and 283,521.60

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Solution

The fourth proportional to 432,820.80, 649,231.20 and 283,521.60 is: 425,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,820.80 : 649,231.20 = 283,521.60 : x
  2. Step 2: Convert to fraction form
    432,820.80/649,231.20 = 283,521.60/x
  3. Step 3: Cross multiply
    432,820.80x = 649,231.20 × 283,521.60
  4. Step 4: Simplify right side
    432,820.80x = 184,071,068,593.92
  5. Step 5: Solve for x
    x = 184,071,068,593.92/432,820.80
  6. Step 6: Final answer
    x = 425,282.40

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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.