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Finding the Fourth Proportional to 308,965.69, 463,522.52 and 128,951.02

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Solution

The fourth proportional to 308,965.69, 463,522.52 and 128,951.02 is: 193,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,965.69 : 463,522.52 = 128,951.02 : x
  2. Step 2: Convert to fraction form
    308,965.69/463,522.52 = 128,951.02/x
  3. Step 3: Cross multiply
    308,965.69x = 463,522.52 × 128,951.02
  4. Step 4: Simplify right side
    308,965.69x = 59,771,701,746.97
  5. Step 5: Solve for x
    x = 59,771,701,746.97/308,965.69
  6. Step 6: Final answer
    x = 193,457.41

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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.