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Finding the Fourth Proportional to 302,810.65, 454,216.66 and 284,314.10

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Solution

The fourth proportional to 302,810.65, 454,216.66 and 284,314.10 is: 426,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,810.65 : 454,216.66 = 284,314.10 : x
  2. Step 2: Convert to fraction form
    302,810.65/454,216.66 = 284,314.10/x
  3. Step 3: Cross multiply
    302,810.65x = 454,216.66 × 284,314.10
  4. Step 4: Simplify right side
    302,810.65x = 129,140,202,065.27
  5. Step 5: Solve for x
    x = 129,140,202,065.27/302,810.65
  6. Step 6: Final answer
    x = 426,471.79

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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.