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Finding the Fourth Proportional to 308,811.34, 463,152.21 and 87,143.50

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Solution

The fourth proportional to 308,811.34, 463,152.21 and 87,143.50 is: 130,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,811.34 : 463,152.21 = 87,143.50 : x
  2. Step 2: Convert to fraction form
    308,811.34/463,152.21 = 87,143.50/x
  3. Step 3: Cross multiply
    308,811.34x = 463,152.21 × 87,143.50
  4. Step 4: Simplify right side
    308,811.34x = 40,360,704,612.14
  5. Step 5: Solve for x
    x = 40,360,704,612.14/308,811.34
  6. Step 6: Final answer
    x = 130,696.96

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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.