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Finding the Fourth Proportional to 288,836.70, 432,671.85 and 200,190.30

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Solution

The fourth proportional to 288,836.70, 432,671.85 and 200,190.30 is: 299,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,836.70 : 432,671.85 = 200,190.30 : x
  2. Step 2: Convert to fraction form
    288,836.70/432,671.85 = 200,190.30/x
  3. Step 3: Cross multiply
    288,836.70x = 432,671.85 × 200,190.30
  4. Step 4: Simplify right side
    288,836.70x = 86,616,707,453.06
  5. Step 5: Solve for x
    x = 86,616,707,453.06/288,836.70
  6. Step 6: Final answer
    x = 299,881.24

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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.