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Finding the Fourth Proportional to 302,721.80, 454,082.70 and 288,206.60

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Solution

The fourth proportional to 302,721.80, 454,082.70 and 288,206.60 is: 432,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,721.80 : 454,082.70 = 288,206.60 : x
  2. Step 2: Convert to fraction form
    302,721.80/454,082.70 = 288,206.60/x
  3. Step 3: Cross multiply
    302,721.80x = 454,082.70 × 288,206.60
  4. Step 4: Simplify right side
    302,721.80x = 130,869,631,085.82
  5. Step 5: Solve for x
    x = 130,869,631,085.82/302,721.80
  6. Step 6: Final answer
    x = 432,309.90

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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.