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Finding the Fourth Proportional to 434,194.79, 650,861.16 and 206,090.69

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Solution

The fourth proportional to 434,194.79, 650,861.16 and 206,090.69 is: 308,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,194.79 : 650,861.16 = 206,090.69 : x
  2. Step 2: Convert to fraction form
    434,194.79/650,861.16 = 206,090.69/x
  3. Step 3: Cross multiply
    434,194.79x = 650,861.16 × 206,090.69
  4. Step 4: Simplify right side
    434,194.79x = 134,136,421,531.46
  5. Step 5: Solve for x
    x = 134,136,421,531.46/434,194.79
  6. Step 6: Final answer
    x = 308,931.44

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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.