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Finding the Fourth Proportional to 308,967.84, 463,399.92 and 87,300

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Solution

The fourth proportional to 308,967.84, 463,399.92 and 87,300 is: 130,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,967.84 : 463,399.92 = 87,300 : x
  2. Step 2: Convert to fraction form
    308,967.84/463,399.92 = 87,300/x
  3. Step 3: Cross multiply
    308,967.84x = 463,399.92 × 87,300
  4. Step 4: Simplify right side
    308,967.84x = 40,454,813,016
  5. Step 5: Solve for x
    x = 40,454,813,016/308,967.84
  6. Step 6: Final answer
    x = 130,935.35

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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.