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Finding the Fourth Proportional to 492,767.94, 679,903.28 and 299,170.74

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Solution

The fourth proportional to 492,767.94, 679,903.28 and 299,170.74 is: 412,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,767.94 : 679,903.28 = 299,170.74 : x
  2. Step 2: Convert to fraction form
    492,767.94/679,903.28 = 299,170.74/x
  3. Step 3: Cross multiply
    492,767.94x = 679,903.28 × 299,170.74
  4. Step 4: Simplify right side
    492,767.94x = 203,407,167,406.03
  5. Step 5: Solve for x
    x = 203,407,167,406.03/492,767.94
  6. Step 6: Final answer
    x = 412,784.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.