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Finding the Fourth Proportional to 307,422.35, 424,243.59 and 171,465.10

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Solution

The fourth proportional to 307,422.35, 424,243.59 and 171,465.10 is: 236,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,422.35 : 424,243.59 = 171,465.10 : x
  2. Step 2: Convert to fraction form
    307,422.35/424,243.59 = 171,465.10/x
  3. Step 3: Cross multiply
    307,422.35x = 424,243.59 × 171,465.10
  4. Step 4: Simplify right side
    307,422.35x = 72,742,969,583.71
  5. Step 5: Solve for x
    x = 72,742,969,583.71/307,422.35
  6. Step 6: Final answer
    x = 236,622.26

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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.