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Finding the Fourth Proportional to 205,300.40, 307,513.20 and 165,934.40

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Solution

The fourth proportional to 205,300.40, 307,513.20 and 165,934.40 is: 248,548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,300.40 : 307,513.20 = 165,934.40 : x
  2. Step 2: Convert to fraction form
    205,300.40/307,513.20 = 165,934.40/x
  3. Step 3: Cross multiply
    205,300.40x = 307,513.20 × 165,934.40
  4. Step 4: Simplify right side
    205,300.40x = 51,027,018,334.08
  5. Step 5: Solve for x
    x = 51,027,018,334.08/205,300.40
  6. Step 6: Final answer
    x = 248,548.07

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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.