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Finding the Fourth Proportional to 427,791.80, 642,318.51 and 238,621.76

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Solution

The fourth proportional to 427,791.80, 642,318.51 and 238,621.76 is: 358,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,791.80 : 642,318.51 = 238,621.76 : x
  2. Step 2: Convert to fraction form
    427,791.80/642,318.51 = 238,621.76/x
  3. Step 3: Cross multiply
    427,791.80x = 642,318.51 × 238,621.76
  4. Step 4: Simplify right side
    427,791.80x = 153,271,175,699.51
  5. Step 5: Solve for x
    x = 153,271,175,699.51/427,791.80
  6. Step 6: Final answer
    x = 358,284.51

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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.