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Finding the Fourth Proportional to 302,015.34, 453,012.53 and 77,377.64

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Solution

The fourth proportional to 302,015.34, 453,012.53 and 77,377.64 is: 116,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,015.34 : 453,012.53 = 77,377.64 : x
  2. Step 2: Convert to fraction form
    302,015.34/453,012.53 = 77,377.64/x
  3. Step 3: Cross multiply
    302,015.34x = 453,012.53 × 77,377.64
  4. Step 4: Simplify right side
    302,015.34x = 35,053,037,809.88
  5. Step 5: Solve for x
    x = 35,053,037,809.88/302,015.34
  6. Step 6: Final answer
    x = 116,063.77

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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.