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Finding the Fourth Proportional to 308,742, 463,113 and 75,270

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Solution

The fourth proportional to 308,742, 463,113 and 75,270 is: 112,905

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,742 : 463,113 = 75,270 : x
  2. Step 2: Convert to fraction form
    308,742/463,113 = 75,270/x
  3. Step 3: Cross multiply
    308,742x = 463,113 × 75,270
  4. Step 4: Simplify right side
    308,742x = 34,858,515,510
  5. Step 5: Solve for x
    x = 34,858,515,510/308,742
  6. Step 6: Final answer
    x = 112,905

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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.