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Finding the Fourth Proportional to 302,712.78, 454,140.16 and 92,350.64

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Solution

The fourth proportional to 302,712.78, 454,140.16 and 92,350.64 is: 138,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,712.78 : 454,140.16 = 92,350.64 : x
  2. Step 2: Convert to fraction form
    302,712.78/454,140.16 = 92,350.64/x
  3. Step 3: Cross multiply
    302,712.78x = 454,140.16 × 92,350.64
  4. Step 4: Simplify right side
    302,712.78x = 41,940,134,425.70
  5. Step 5: Solve for x
    x = 41,940,134,425.70/302,712.78
  6. Step 6: Final answer
    x = 138,547.62

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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.