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Finding the Fourth Proportional to 302,294, 453,441 and 80,678

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Solution

The fourth proportional to 302,294, 453,441 and 80,678 is: 121,017

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,294 : 453,441 = 80,678 : x
  2. Step 2: Convert to fraction form
    302,294/453,441 = 80,678/x
  3. Step 3: Cross multiply
    302,294x = 453,441 × 80,678
  4. Step 4: Simplify right side
    302,294x = 36,582,712,998
  5. Step 5: Solve for x
    x = 36,582,712,998/302,294
  6. Step 6: Final answer
    x = 121,017

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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.