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Finding the Fourth Proportional to 302,074.60, 453,110.30 and 77,434.60

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Solution

The fourth proportional to 302,074.60, 453,110.30 and 77,434.60 is: 116,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,074.60 : 453,110.30 = 77,434.60 : x
  2. Step 2: Convert to fraction form
    302,074.60/453,110.30 = 77,434.60/x
  3. Step 3: Cross multiply
    302,074.60x = 453,110.30 × 77,434.60
  4. Step 4: Simplify right side
    302,074.60x = 35,086,414,836.38
  5. Step 5: Solve for x
    x = 35,086,414,836.38/302,074.60
  6. Step 6: Final answer
    x = 116,151.49

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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.