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Finding the Fourth Proportional to 307,097.70, 423,796.50 and 178,112.64

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Solution

The fourth proportional to 307,097.70, 423,796.50 and 178,112.64 is: 245,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,097.70 : 423,796.50 = 178,112.64 : x
  2. Step 2: Convert to fraction form
    307,097.70/423,796.50 = 178,112.64/x
  3. Step 3: Cross multiply
    307,097.70x = 423,796.50 × 178,112.64
  4. Step 4: Simplify right side
    307,097.70x = 75,483,513,437.76
  5. Step 5: Solve for x
    x = 75,483,513,437.76/307,097.70
  6. Step 6: Final answer
    x = 245,796.41

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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.