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Finding the Fourth Proportional to 456,103.71, 683,630.28 and 245,298.78

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Solution

The fourth proportional to 456,103.71, 683,630.28 and 245,298.78 is: 367,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,103.71 : 683,630.28 = 245,298.78 : x
  2. Step 2: Convert to fraction form
    456,103.71/683,630.28 = 245,298.78/x
  3. Step 3: Cross multiply
    456,103.71x = 683,630.28 × 245,298.78
  4. Step 4: Simplify right side
    456,103.71x = 167,693,673,655.06
  5. Step 5: Solve for x
    x = 167,693,673,655.06/456,103.71
  6. Step 6: Final answer
    x = 367,665.66

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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.