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Finding the Fourth Proportional to 307,699.71, 424,646.94 and 171,760.14

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Solution

The fourth proportional to 307,699.71, 424,646.94 and 171,760.14 is: 237,040.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,699.71 : 424,646.94 = 171,760.14 : x
  2. Step 2: Convert to fraction form
    307,699.71/424,646.94 = 171,760.14/x
  3. Step 3: Cross multiply
    307,699.71x = 424,646.94 × 171,760.14
  4. Step 4: Simplify right side
    307,699.71x = 72,937,417,864.97
  5. Step 5: Solve for x
    x = 72,937,417,864.97/307,699.71
  6. Step 6: Final answer
    x = 237,040.91

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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.