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Finding the Fourth Proportional to 427,045.20, 640,276.20 and 202,513.20

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Solution

The fourth proportional to 427,045.20, 640,276.20 and 202,513.20 is: 303,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,045.20 : 640,276.20 = 202,513.20 : x
  2. Step 2: Convert to fraction form
    427,045.20/640,276.20 = 202,513.20/x
  3. Step 3: Cross multiply
    427,045.20x = 640,276.20 × 202,513.20
  4. Step 4: Simplify right side
    427,045.20x = 129,664,382,145.84
  5. Step 5: Solve for x
    x = 129,664,382,145.84/427,045.20
  6. Step 6: Final answer
    x = 303,631.52

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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.