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Finding the Fourth Proportional to 307,070.98, 423,789.12 and 171,127.06

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Solution

The fourth proportional to 307,070.98, 423,789.12 and 171,127.06 is: 236,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,070.98 : 423,789.12 = 171,127.06 : x
  2. Step 2: Convert to fraction form
    307,070.98/423,789.12 = 171,127.06/x
  3. Step 3: Cross multiply
    307,070.98x = 423,789.12 × 171,127.06
  4. Step 4: Simplify right side
    307,070.98x = 72,521,786,165.59
  5. Step 5: Solve for x
    x = 72,521,786,165.59/307,070.98
  6. Step 6: Final answer
    x = 236,172.71

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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.