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Finding the Fourth Proportional to 477,576.10, 716,089.41 and 285,642.25

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Solution

The fourth proportional to 477,576.10, 716,089.41 and 285,642.25 is: 428,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,576.10 : 716,089.41 = 285,642.25 : x
  2. Step 2: Convert to fraction form
    477,576.10/716,089.41 = 285,642.25/x
  3. Step 3: Cross multiply
    477,576.10x = 716,089.41 × 285,642.25
  4. Step 4: Simplify right side
    477,576.10x = 204,545,388,483.35
  5. Step 5: Solve for x
    x = 204,545,388,483.35/477,576.10
  6. Step 6: Final answer
    x = 428,299.05

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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.