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Finding the Fourth Proportional to 280,308.30, 420,462.45 and 201,576.30

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Solution

The fourth proportional to 280,308.30, 420,462.45 and 201,576.30 is: 302,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,308.30 : 420,462.45 = 201,576.30 : x
  2. Step 2: Convert to fraction form
    280,308.30/420,462.45 = 201,576.30/x
  3. Step 3: Cross multiply
    280,308.30x = 420,462.45 × 201,576.30
  4. Step 4: Simplify right side
    280,308.30x = 84,755,264,959.94
  5. Step 5: Solve for x
    x = 84,755,264,959.94/280,308.30
  6. Step 6: Final answer
    x = 302,364.45

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1.5x scale

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.