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Finding the Fourth Proportional to 308,840.20, 463,260.30 and 288,104.20

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Solution

The fourth proportional to 308,840.20, 463,260.30 and 288,104.20 is: 432,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,840.20 : 463,260.30 = 288,104.20 : x
  2. Step 2: Convert to fraction form
    308,840.20/463,260.30 = 288,104.20/x
  3. Step 3: Cross multiply
    308,840.20x = 463,260.30 × 288,104.20
  4. Step 4: Simplify right side
    308,840.20x = 133,467,238,123.26
  5. Step 5: Solve for x
    x = 133,467,238,123.26/308,840.20
  6. Step 6: Final answer
    x = 432,156.30

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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.