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Finding the Fourth Proportional to 308,425.32, 461,358.51 and 289,529.64

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Solution

The fourth proportional to 308,425.32, 461,358.51 and 289,529.64 is: 433,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,425.32 : 461,358.51 = 289,529.64 : x
  2. Step 2: Convert to fraction form
    308,425.32/461,358.51 = 289,529.64/x
  3. Step 3: Cross multiply
    308,425.32x = 461,358.51 × 289,529.64
  4. Step 4: Simplify right side
    308,425.32x = 133,576,963,311.24
  5. Step 5: Solve for x
    x = 133,576,963,311.24/308,425.32
  6. Step 6: Final answer
    x = 433,093.38

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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.