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Finding the Fourth Proportional to 309,256.70, 463,935.47 and 109,533.78

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Solution

The fourth proportional to 309,256.70, 463,935.47 and 109,533.78 is: 164,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,256.70 : 463,935.47 = 109,533.78 : x
  2. Step 2: Convert to fraction form
    309,256.70/463,935.47 = 109,533.78/x
  3. Step 3: Cross multiply
    309,256.70x = 463,935.47 × 109,533.78
  4. Step 4: Simplify right side
    309,256.70x = 50,816,605,157.51
  5. Step 5: Solve for x
    x = 50,816,605,157.51/309,256.70
  6. Step 6: Final answer
    x = 164,318.53

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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.