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Finding the Fourth Proportional to 432,912.30, 649,368.45 and 291,194.70

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Solution

The fourth proportional to 432,912.30, 649,368.45 and 291,194.70 is: 436,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,912.30 : 649,368.45 = 291,194.70 : x
  2. Step 2: Convert to fraction form
    432,912.30/649,368.45 = 291,194.70/x
  3. Step 3: Cross multiply
    432,912.30x = 649,368.45 × 291,194.70
  4. Step 4: Simplify right side
    432,912.30x = 189,092,650,987.22
  5. Step 5: Solve for x
    x = 189,092,650,987.22/432,912.30
  6. Step 6: Final answer
    x = 436,792.05

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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.