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Finding the Fourth Proportional to 307,428, 424,250.64 and 166,116

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Solution

The fourth proportional to 307,428, 424,250.64 and 166,116 is: 229,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,428 : 424,250.64 = 166,116 : x
  2. Step 2: Convert to fraction form
    307,428/424,250.64 = 166,116/x
  3. Step 3: Cross multiply
    307,428x = 424,250.64 × 166,116
  4. Step 4: Simplify right side
    307,428x = 70,474,819,314.24
  5. Step 5: Solve for x
    x = 70,474,819,314.24/307,428
  6. Step 6: Final answer
    x = 229,240.08

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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.