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Finding the Fourth Proportional to 309,491.94, 426,877.65 and 284,079

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Solution

The fourth proportional to 309,491.94, 426,877.65 and 284,079 is: 391,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,491.94 : 426,877.65 = 284,079 : x
  2. Step 2: Convert to fraction form
    309,491.94/426,877.65 = 284,079/x
  3. Step 3: Cross multiply
    309,491.94x = 426,877.65 × 284,079
  4. Step 4: Simplify right side
    309,491.94x = 121,266,975,934.35
  5. Step 5: Solve for x
    x = 121,266,975,934.35/309,491.94
  6. Step 6: Final answer
    x = 391,825.96

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1.5x scale

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.