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Finding the Fourth Proportional to 200,415.60, 300,648.36 and 65,476.64

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Solution

The fourth proportional to 200,415.60, 300,648.36 and 65,476.64 is: 98,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,415.60 : 300,648.36 = 65,476.64 : x
  2. Step 2: Convert to fraction form
    200,415.60/300,648.36 = 65,476.64/x
  3. Step 3: Cross multiply
    200,415.60x = 300,648.36 × 65,476.64
  4. Step 4: Simplify right side
    200,415.60x = 19,685,444,434.31
  5. Step 5: Solve for x
    x = 19,685,444,434.31/200,415.60
  6. Step 6: Final answer
    x = 98,223.11

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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.