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Finding the Fourth Proportional to 308,674.63, 465,325.51 and 288,099.74

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Solution

The fourth proportional to 308,674.63, 465,325.51 and 288,099.74 is: 434,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,674.63 : 465,325.51 = 288,099.74 : x
  2. Step 2: Convert to fraction form
    308,674.63/465,325.51 = 288,099.74/x
  3. Step 3: Cross multiply
    308,674.63x = 465,325.51 × 288,099.74
  4. Step 4: Simplify right side
    308,674.63x = 134,060,156,812.16
  5. Step 5: Solve for x
    x = 134,060,156,812.16/308,674.63
  6. Step 6: Final answer
    x = 434,308.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.