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Finding the Fourth Proportional to 307,908.20, 462,251.10 and 165,866.60

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Solution

The fourth proportional to 307,908.20, 462,251.10 and 165,866.60 is: 249,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,908.20 : 462,251.10 = 165,866.60 : x
  2. Step 2: Convert to fraction form
    307,908.20/462,251.10 = 165,866.60/x
  3. Step 3: Cross multiply
    307,908.20x = 462,251.10 × 165,866.60
  4. Step 4: Simplify right side
    307,908.20x = 76,672,018,303.26
  5. Step 5: Solve for x
    x = 76,672,018,303.26/307,908.20
  6. Step 6: Final answer
    x = 249,009.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.