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Finding the Fourth Proportional to 302,815.80, 454,223.70 and 289,037.70

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Solution

The fourth proportional to 302,815.80, 454,223.70 and 289,037.70 is: 433,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,815.80 : 454,223.70 = 289,037.70 : x
  2. Step 2: Convert to fraction form
    302,815.80/454,223.70 = 289,037.70/x
  3. Step 3: Cross multiply
    302,815.80x = 454,223.70 × 289,037.70
  4. Step 4: Simplify right side
    302,815.80x = 131,287,773,533.49
  5. Step 5: Solve for x
    x = 131,287,773,533.49/302,815.80
  6. Step 6: Final answer
    x = 433,556.55

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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.