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Finding the Fourth Proportional to 308,756.34, 463,069.71 and 87,088.50

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Solution

The fourth proportional to 308,756.34, 463,069.71 and 87,088.50 is: 130,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,756.34 : 463,069.71 = 87,088.50 : x
  2. Step 2: Convert to fraction form
    308,756.34/463,069.71 = 87,088.50/x
  3. Step 3: Cross multiply
    308,756.34x = 463,069.71 × 87,088.50
  4. Step 4: Simplify right side
    308,756.34x = 40,328,046,439.34
  5. Step 5: Solve for x
    x = 40,328,046,439.34/308,756.34
  6. Step 6: Final answer
    x = 130,614.47

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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.