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Finding the Fourth Proportional to 245,564.70, 368,433.45 and 120,822.30

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Solution

The fourth proportional to 245,564.70, 368,433.45 and 120,822.30 is: 181,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,564.70 : 368,433.45 = 120,822.30 : x
  2. Step 2: Convert to fraction form
    245,564.70/368,433.45 = 120,822.30/x
  3. Step 3: Cross multiply
    245,564.70x = 368,433.45 × 120,822.30
  4. Step 4: Simplify right side
    245,564.70x = 44,514,976,825.94
  5. Step 5: Solve for x
    x = 44,514,976,825.94/245,564.70
  6. Step 6: Final answer
    x = 181,275.96

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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.