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Finding the Fourth Proportional to 229,299.50, 316,463.28 and 128,697.50

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Solution

The fourth proportional to 229,299.50, 316,463.28 and 128,697.50 is: 177,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,299.50 : 316,463.28 = 128,697.50 : x
  2. Step 2: Convert to fraction form
    229,299.50/316,463.28 = 128,697.50/x
  3. Step 3: Cross multiply
    229,299.50x = 316,463.28 × 128,697.50
  4. Step 4: Simplify right side
    229,299.50x = 40,728,032,977.80
  5. Step 5: Solve for x
    x = 40,728,032,977.80/229,299.50
  6. Step 6: Final answer
    x = 177,619.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.